{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Single-qubit geometric gates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook we create a single-qubit geometric gate between the $|0\\rangle$ and $|2\\rangle$ state of the transmon. The ideal unitary operator describing the single-qubit geometric gate in the $\\{|0\\rangle, |2\\rangle\\}$ basis is\n",
    "\\begin{align}\n",
    "U_g = \\begin{pmatrix}\n",
    "\\cos\\theta & e^{i\\phi}\\sin\\theta \\\\\n",
    "e^{-i\\phi}\\sin\\theta & -\\cos\\theta\n",
    "\\end{pmatrix}\n",
    "\\end{align}\n",
    "where $\\theta$ and $\\phi$ are controllable rotation angles.\n",
    "The rotation that a geometric gate implements depends only on the path that the quantum system takes in Hilbert space during the time evolution. This gate is implemented by simultaneously driving a $2\\pi$ rotation between the $|0\\rangle$ to $|1\\rangle$ and the $|1\\rangle$ to $|2\\rangle$ transitions which differ in frequency by the anharmonicity of the transmon. We therefore require properly calibrated $X$ gates between $|0\\rangle$ to $|1\\rangle$ and between $|1\\rangle$ to $|2\\rangle$ which we label $X_{01}$ and $X_{12}$, respectively. The backend provides us with a properly calibrated $X_{01}$ gate. By modulating the pulse that implements $X_{01}$ with the anharmonicity of the transmon and by scaling its amplitude we can implement a calibrated $X_{12}$ gate that has the same duration as $X_{01}$. This modulation requires a bandwidth comparable to the anharmonicity, which is typically -400 ~ -300 MHz for transmon devices. To avoid calibrating $2\\pi$ rotations we implement the geometric gate by two back-to-back simultaneously driven $X_{01}$ and $X_{12}$ gates. The pulse envelope of the $X_{01}$ and $X_{12}$ gates are scaled by the complex parameters $a$ and $b$ which control the rotation angles $\\theta$ and $\\phi$ on the Bloch sphere spanned by $|0\\rangle$ and $|2\\rangle$ according to\n",
    "\\begin{align}\n",
    "e^{i\\phi}\\tan\\frac{\\theta}{2}=\\frac{a}{b}.\n",
    "\\end{align}\n",
    "\n",
    "To implement the geometric gate we need to do the following steps.\n",
    "1. Identify the frequency of the $|1\\rangle$ to $|2\\rangle$ transition using spectroscopy.\n",
    "2. Identify the amplitude of the $\\pi$-pulse between the $|1\\rangle$ to $|2\\rangle$ transition.\n",
    "3. Build a discriminator using Qiskit-Ignis to discriminate the $|0\\rangle$, $|1\\rangle$, and $|2\\rangle$.\n",
    "4. Implement and measure a single-qubit geometric gate.\n",
    "\n",
    "References:\n",
    "- Abdumalikov *et al.*, Nature **496**, 482-485 (2013)\n",
    "- Egger *et al*, Phys. Rev. Applied **11**, 014017 (2019)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import curve_fit\n",
    "\n",
    "import qiskit.pulse as pulse\n",
    "from qiskit.compiler import assemble\n",
    "\n",
    "# Qiskit pulse\n",
    "from qiskit.pulse import (MemorySlot, Acquire, DriveChannel, Schedule, SamplePulse, \n",
    "                          InstructionScheduleMap, Play, MeasureChannel, AcquireChannel)\n",
    "from qiskit.pulse.pulse_lib import Gaussian\n",
    "from qiskit.qobj.utils import MeasLevel, MeasReturnType\n",
    "from qiskit.scheduler import measure_all\n",
    "from qiskit.visualization.pulse.qcstyle import SchedStyle\n",
    "\n",
    "# Ignis discriminator fitter tools\n",
    "from sklearn.svm import SVC\n",
    "from qiskit.ignis.mitigation.measurement import CompleteMeasFitter, MeasurementFilter\n",
    "from qiskit.ignis.measurement.discriminator.filters import DiscriminationFilter\n",
    "from qiskit.ignis.measurement.discriminator.iq_discriminators import SklearnIQDiscriminator\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Load a high resolution pulse backend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "from qiskit.tools.jupyter import *\n",
    "\n",
    "from qiskit import IBMQ\n",
    "IBMQ.load_account()\n",
    "hub='update-here'\n",
    "group='update-here'\n",
    "project='update-here'\n",
    "\n",
    "provider = IBMQ.get_provider(hub=hub, group=group, project=project)\n",
    "backend = provider.get_backend('ibmq_armonk')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e0745bd7c3ac4ae7ad1213e553fd7158",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<h1 style='color:#ffffff;background-color:#000000;padding-top: 1%;padding-bottom: 1…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<IBMQBackend('ibmq_armonk') from IBMQ(hub='ibm-q-internal', group='dev-qiskit', project='pulse-testing')>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "backend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = backend.configuration()\n",
    "defaults = backend.defaults()\n",
    "inst_map = defaults.circuit_instruction_map\n",
    "style = SchedStyle(figsize=(16, 5))  # schedule style plotting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Extract the default Xp and measurement pulse for the qubit that we are going to use."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "xp = inst_map.get('x', (0,)).instructions[0][1].pulse\n",
    "d0 = DriveChannel(0)\n",
    "dt = config.dt\n",
    "shots = 1024"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def add_modulation(pulse, freq: float, dt: float, scale: float = 1.) -> SamplePulse:\n",
    "    \"\"\"\n",
    "    Add a modulation to the pulse.\n",
    "    \n",
    "    Args:\n",
    "        samples: A list of AWG samples to modulate.\n",
    "        freq: The frequency of the modulation to add to samples.\n",
    "        dt: The cycle time.\n",
    "        scale: a factor to scale the samples.\n",
    "        \n",
    "    Returns: SamplePulse with the added modulation.\n",
    "    \"\"\"\n",
    "    \n",
    "    if not isinstance(pulse, SamplePulse):\n",
    "        samples = pulse.get_sample_pulse().samples\n",
    "    else:\n",
    "        samples = pulse.samples\n",
    "    \n",
    "    modulated_samples = []\n",
    "    for i, amp in enumerate(samples):\n",
    "        modulated_samples.append(scale * amp * np.exp(2.0j*np.pi*freq*i*dt))\n",
    "    \n",
    "    return SamplePulse(modulated_samples)\n",
    "\n",
    "def get_job_data(job, average: bool, qubit: int, scale_factor=1):\n",
    "    \"\"\"Retrieve data from a job that has already run.\n",
    "    \n",
    "    Args:\n",
    "        job (Job): The job whose data you want.\n",
    "        average: If True, gets the data assuming data is an average.\n",
    "                 If False, gets the data assuming it is for single shots.\n",
    "    Return:\n",
    "        list: List containing job result data. \n",
    "    \"\"\"\n",
    "    job_results = job.result(timeout=120) # timeout parameter set to 120 s\n",
    "    result_data = []\n",
    "    for i in range(len(job_results.results)):\n",
    "        if average: # get avg data\n",
    "            result_data.append(job_results.get_memory(i)[qubit]*scale_factor) \n",
    "        else: # get single data\n",
    "            result_data.append(job_results.get_memory(i)[:, qubit]*scale_factor)  \n",
    "    return result_data\n",
    "\n",
    "def lorenz(x, a, q_freq, b, c):\n",
    "     return (a / np.pi) * (b / ((x - q_freq)**2 + b**2)) + c"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calibration of an X gate between $|1\\rangle$ and $|2\\rangle$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find the $|1\\rangle$ to $|2\\rangle$ transition\n",
    "\n",
    "We use spectroscopy to find the transition between $|1\\rangle$ and $|2\\rangle$.\n",
    "First, we apply a pi-pulse to the qubit to prepare the $|1\\rangle$ state.\n",
    "Next, we apply a longer and weaker spectroscopic pulse with a frequency detunning $\\delta f$ from the $|0\\rangle$ to $|1\\rangle$ transition and measure.\n",
    "By repeating this experiment for different values of $\\delta f$ we can identify the frequency detunning of the transition between $|1\\rangle$ and $|2\\rangle$ which is called the anharmonicity $\\alpha$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note**: Here we will drive a transition at +400 MHz which corresponds to an image (created by the IQ mixer) of the anharmonicity. Since the LO is +50 MHz above the $|0\\rangle$ to $|1\\rangle$ transition frequency of the qubit and that the true qubit anharmonicity is approximately -350 MHz the +400 MHz thus corresponds to an image of the anharmonicity. This image transition of the anharmonicity has proven superior at creating a $\\pi$-pulse between the $|1\\rangle$ and $|2\\rangle$ states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "exps = 74\n",
    "\n",
    "# Frequency range to scan in GHz\n",
    "# Anharmonicity is around -349 MHz and its image is around +400 MHz.\n",
    "frequency_offsets = np.linspace(0.396, 0.404, exps)\n",
    "\n",
    "schedules = []\n",
    "for freq in frequency_offsets:\n",
    "    sched = Schedule(name='Frequency %f MHz' % (freq/1e3))\n",
    "    \n",
    "    spec_pulse = add_modulation(Gaussian(3200, 0.1, 800), freq*1e9, dt)\n",
    "    #spec_pulse = add_modulation(xp, freq*1e9, dt, scale=0.88)\n",
    "        \n",
    "    sched += Play(xp, d0)\n",
    "    sched += Play(spec_pulse, d0)\n",
    "    sched += measure_all(backend) << sched.duration\n",
    "    \n",
    "    schedules.append(sched)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[32].draw(plot_range=[0, 7500], style=style, channels=[DriveChannel(0), MeasureChannel(0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "qobj = assemble(schedules, backend, meas_level=1, \n",
    "                meas_return=MeasReturnType.AVERAGE,\n",
    "                shots=shots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'5e8af77747a99200182d40cc'"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job = backend.run(qobj)\n",
    "job.job_id()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.DONE: 'job has successfully run'>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "result = get_job_data(job, True, 0, 1e-15)\n",
    "spec_signal = abs(np.array(result))\n",
    "spec_signal = np.average(spec_signal) - spec_signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "popt, pcov = curve_fit(lorenz, frequency_offsets, spec_signal, [0.015, 0.4, 0.0045, 0.1])\n",
    "anharmonicity = popt[1]*1e9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "399668282.76144534"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anharmonicity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "plt.rcParams['font.size'] = 20\n",
    "plt.plot(frequency_offsets, lorenz(frequency_offsets, *popt))\n",
    "plt.plot(frequency_offsets, spec_signal, 'ok')\n",
    "plt.xlabel('Frequency detunning (MHz)')\n",
    "plt.ylabel('Signal (arb units.)')\n",
    "plt.title('Anharmonicity %.2f MHz' % (anharmonicity/1e6));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calibrate a $\\pi$-pulse between 1 and 2\n",
    "\n",
    "Since we now know the anharmonicity $\\alpha$ of the transmon, we can apply a frequency modulation $e^{i\\alpha t}$ to the pulse envelope $\\Omega(t)$ that implements an $X$ gate between $|0\\rangle$ and $|1\\rangle$ to drive the $|1\\rangle$ to $|2\\rangle$ transition. \n",
    "However, the resulting pulse will not have the correct amplitude to implement a $\\pi$-pulse between $|1\\rangle$ and $|2\\rangle$.\n",
    "To calibrate this pulse we scan a scaling factor $\\eta$ of the pulse envelope $\\eta\\,\\Omega(t)\\,e^{i\\alpha t}$ to measure a Rabi oscillation between $|1\\rangle$ and $|2\\rangle$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "xp12_scales = np.linspace(0., 1.6, 74)\n",
    "\n",
    "schedules = []\n",
    "for amp in xp12_scales:\n",
    "    sched = Schedule(name='Amplitude {:.3f} (\\\\% AWG output)'.format(amp))\n",
    "    \n",
    "    xp12 = add_modulation(xp, anharmonicity, dt, scale=amp)\n",
    "    \n",
    "    sched += Play(xp, d0)\n",
    "    sched += Play(xp12, d0)\n",
    "    sched += measure_all(backend) << sched.duration\n",
    "    \n",
    "    schedules.append(sched)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Qpf7nUn7NWk5NlRCmoXteArpKwJcIf3lI0HRxEEBWj4sCSnk4a2syS7BYff8ZQNdJ4rdzLq9X93grXR/xx994gIeHNiPZMAzDeH0xcWwYhmE8NW+9e4J33j8FAPRRen7fv7fEv/jaxwhpZJK02nIWe8yStjxblBnEWehWs4UHSdDVehRTOTGqZSqeqe4lrr/HeZ6xim0Rrm4gsmvhWcqiizuNvG0RkmXucTknilXQmFx+cbnT1wAG1y+LndwvFnGe10nX23YxC2smEb7Z7WXppSZm6CJ1pWOk4t6zjLNqO4ZPnwbk+twTxLFs13bxs79JDMMwDOMlx3qOjZcSYqAP0k/YRyezSiMQ0liWmD8kI7tIzDKj1AHwHhj58vfIMUYjYOyB0QiYjBiTMTAZyTaGYTwdXSijmLyTn89bH51iY8zoAmEy9vlnNlRBVMAw8Mr59HMNzv8jcsVZjeKSjoFUIsxZlIrolS1RiVF1aLNgfoIIHpZVD11eIunjLf/W8DkhC2jitFwPZZFcp1IPjoNU6g1dJjI29yhjGB4GFHcbQHbAVWxT1UsMV65Bw7+YdZ70sIy66xhNz/DqHAM4PF7hjx8c4h/+GzfhvSw/mAGrlgbbGoZhGMbrholj44USItD0QNs7tJ38veyAVecQo0MgEcWa0io4qN2SPrcNBK6uR+fWZyShrH9GwMQzNqaMjTVgbcJYm8jf61NZxzCMn4y+J2gxknOMyOI2jlicxlK2XDnHKGXL2jfs4cCgInjV8UzCliphmnttUVzd7N6iGoGkwroSpvoPxSBtWsufUURoTCeRS615+G9MXX6tjnBflUFztW0W3OcEM1CEde0yl/Mqpc5Rrym74q6Ms6oeOmgad510rcFdeqzxiNEGQt9zFsFEwAd3T7A9bXG27LG3PUUk4O6Bw6PjaoazYRiGYbyGmDg2nhuRJKRn2Tk0ncPZClg2Hl0Ul1g/xI08MB7JB7f1MTCaFhdY+LQfzsoHRv2QHZPoXgWHs5WIcECc5ckYmI4YW+uM7Q1gfcrYXGNsTOtzMIyLCXF5KFUTieC14pYlPCpGRpuEr/dp7FJyMIkYYFcEbhK9xTlGDuDSfmER0kXcRUpOZlVBkoOvtLIkC03tMa6EK/TfhTplmh8TrwQW57h2fwfCO62fyqljpCKwVeBS6aMeuL8oDrUK67xevpcaQOZAaf5wrIK1KAn/ULvElYgG5EGkll/XArfrGW3P+QEjw2FzfYr52SlOZh32tqfog4yP0qA0AGjSQ8zL2yaWDcMwjNcHE8fGMyNEYNk6LBrgbOUwWzpxiAPA5DAeMaZjYG3M2F4TQfwscQ4YufOO8PCDXUhCvQsOi1OHe8cO3hVHeW+Tsb3B2FpjbK6bu2xcLJiBH94Z4eZlGoiiLgDLhrG5rgnK0i8bIsM5zv3GxAxOoVB9IDB85XqickxFiaZsLWmjiJxLnFUYZkcYT3ZolezGumGqNYjBvnJos5tcXNgYGRzVPZZ+5VpAD9ZLxws6Bqpym+t+aqqEqwrgHDhWKeay79pFpkE/cHasU3AZkJxm0rLqJI7T/Y+RS9I1p8qcWCxsZmA8GWG+7HFy1uFNpHFZASAuZdW3H4xABOysSwjbeGz/GBqGYRivPiaOjZ8axMCyBRYrh9Olw2zh0CQx7IEsMHc3AO9fTrdBHGtgY614N5GArgeazuF0IfbK2gRYnzAubTF2kmDemFr/svF6Qwz06QFSzbt3R7hzAHz5Zi0updR6PBVB6iqBSJTEcXZtaSBsa+dY5xFroJQmM6uLXLu5WfTquufLqqt0a6ioRiWo03H1GvScCIDnEnilx1RHG0Au64buDxiIWBX06hLnkuwsssX6jlUQmTrR6gzXZeOxKr+OETkpO53MIKBMju/yfeiSOFa3WUZPu7wsRsaqJewfSTJ1H/WhZuU6pwce/+ef3MVk4vEP/vUvIETg9n2PN28Q1qef5R1mGIZhGC8WE8fGUxGiuMLzlcPR3GHRODQdAAesj4HNNcalrVdbNI48sLFWBDNxEsu9w4f7Ds4B61Nge51xeZuxsyFi2Vxl43WDSB3g4fJIpewWEMEWAqPrCetjFa2lN7Y4xyl9uRK+nqs057ofWHtyeTjuiJNrOugdZh4I5lxS7WvXVs59KKyLg1q7uyq2tW9ZXWQAg97o4iZLCfTAYcZQGIPr/mdxx+VeFmc4P6KrricL9KpMm2IR1np8bRXRMC/NbSDW/vBUpk2cRbPeD32wsGpkh+Icyzr6GrsUutZ0DO9lf12quml6h/Xpy/kA1DAMwzB+HCaOjU9NH4DZSlzU4zOHZevQBWA6lv7cnd3XuzfXJzGsH/6IgFUHHJ05PDp1WEsPBa7sMPa2RCw/65Jxw3hWqHAajbw8GOoI//df3MHf/92ruHZ5XZYlYdxX5bpNF9H3BN5Ifaq+CNlIjBBkWRG7XPqAgdwDPChHTqXDWSjrOaISdXE4qzj/t45hojLeCfp9DN1gBwxGRElQWBV4lf+vOgfmoaBO+yTovxM0cH7zeirotfy5CisrI6Hq0m+9x7WDm5KudeQTkHuY1XXOZe2Mweuk/d8qrPM9orI/mRrApccb8m98ICcPQKajdI3nwxMNwzAM49XCxLHxExEicLp0OFk4HM08lq18MFqfSHDVlcmLPsMXh/fA1jqwtS4fPLsgvdbHC4/pSMK8ru6KUN7dNEfZeLX4xvcOcHjS4B/+/hfBDKyagFVL+P7tE/z+b70hPfo9sgMpYtah6yPanoq7y+JmShkwoQ+E0VRLo+tthwK2LkUGqrJqLgIQ1TZlbjHK99SJRim7zo6vq1KtufQAU/pbRbYem1nLmJGW0UAsDwUw5+VSLu1SsnZalwBGKmdOS2MW90Vh1k54zGOgiggN6dpDfNyVzveKXd5GxTGl85eQsySwKyGt7nqITkZAxVJW7R2jD4y2JzCSOGaH03mHP3r3Af7R79/E1oZ9xDAMwzBeLew3l/EjiSQl0ydzh4OZOMR9dNhIwVSTsdkD53Gu9FYDjK4XoXz7gcd0LEFeV3el/Hp7g5+Y+msYLxNHp624vFAn1GPV9Fis5M3b9ZJ4rK6uirEQCX2oQ6iKCx0CI0QallCDByKQk3sJIAtcFdB1+FVdel1KrYvTOhDM0GTs8j0N+SoLqnJmIK8/dq5KiE5ruOqYSILWuTJmSUubXd3/fK6MW8/vnJjN5wTkcvS8z3QOuUc7lajn8+Mi9HPat94vYnS92sQp/ZurfurKrVenXMqlVRzLit4DTUNoey4PLhjYP1yhC4T7+0t85Uu7+X307oczXNmb4uql9Z/sjWcYhmEYLwATx8YAZmDRAidzj4OZjDnqgjjEOxuMqQniT8V0AkyTUG6TUD6+57A+BXY2Gdd2CZe3ZM6yYbxoHh6ssLs9wcb6GJGA2dI9FuAUidF2lMt/u+DQBs4CVMVkFrHpv12asyvCWVzHKUpZL9dBVEkIRmhptMvil5IAVwEo56WjoXAuZKsSpPV6qFzifIyynXcul0GrqPTOodLqCVf2nRKqvauc5rSiTwnX6uoqtcOtAjNGKmXgSXXn3mVOPclp+3p8le5Pzk9Uex5NlU66lGmXcLJINHCEVbxrMBcgs+j1ddR+5ZEDmjai7Wgg/P3Io00l9TW3Ppzhi5/bMnFsGIZhvNSYODYAiDNwsnA4nDmcLDyWjcz73V5nXN7iVzpQ62VBHWVm+bB5fOZwcDrC5hpwZYdwNfUoW3+y8aL45lsHmE5H+Ld/7/N4cOxxdCaj2FS4MZXS3aYNYGb00aEPoiKJS2ATkaQ8l7LeqpQZRfBREsd5/BAqJzWW0mEN7srbovQJ14K6jG2qvyf78yNXgqxUYVb/uOl+vSvHzeXNrgjXLHpd7VyLenXO5fNSS9k5V4nOdKK6HpBTqUWUD8vC9Xj113Je5RLUzQ3VPdJzrMuv5WFF5fADiEH7wMsDEMrXmNaPJUytT8dyTvvKq9AxBrz3aDvK6+k9bLqY3xuGYRiG8bJi4vgCQwxJmT5zODh1mLfyYW17jXHjEqzk9xnhHLAxBTam4twsWuDOgcf9I2Bng3H9EuPyFmFr/dVO+TZeLWYLxrwh7KYffOlNBdqOMRlpYJaXHmECVm3Esokg9qAoophiNbKIS4mujnKSEl7kXmEViyqGc4k1ce7NzX2+6qZWAhHVPhj1WKdherU4yiJcgzqzorLhXDmGXDfD+eIIqwL1rizThwXOuYFLrMI6u9MEwEnAV3Zm005dtV5M+/DepZ5muR9ODpIEfXpdVIZzCfGKeQzUuQcI6Vj1WCf9nq4bYsz9yrKvUtKdXyOU0vRQXUfbEbqeBkKcCGj7iK5yjmOUMnq9B30A9mcOb1y21hLDMAzj5cLE8QWkC8DJ3GF/5nAy92g6SV++bK7lc8d7YGdDRHEXgEXj8MO7DptrHpe3KPcn2+tiPGtuP/C4dwDsfkm+nowYffRoA2PkSu8tRRG5XcdYNQHMUxHGqWf4/BgmTS/mLLq4Kk92RbihzCDO4o+yNgUqYVxc4yRStbyZZbSaGLNJuKqoJhG4MQs/dYSLm0ykErRKkq5EtI5ZqsujB4I5ucRAdR3pXOr7IldeRj2poPfJTY7V+dVl2iwnJtsCJaU7O7JcRk/VDyAqNx8o9xaQ3nBZpuvoeKdq2/T6nU8kbztCGwgjX81IJllel1U/OgXOFqWq4MGxx8nCYXudsLtpbrJhGIbx8mDi+ILADCwa4PDMY/9UeokBKZve2zSH8mVgOgam2/KBdtkC9448Hp6IcL5xiXF5W9xkw3haFg0G7yVxiTkHbwEpcKkjtB1hY1JKe2MqnVYBC1ShT7GEZeXy3CzYXHadWXthuQqbouJwsq6joVPQ8mARqUX0DsufVcgyQZpigdx/y8zw3klpdHXdWhqdxS4XYa0uKzB0jmW/lEVvFtFAFr16To5RxlglteyAfE16/wDAqWtfOdnOlVnEA1Gf7zun+1K5ztV6wwcKnO9rvubKref04IIhIV1cnae+xqHqP2/7iO5cz3GIjBAITRsAAPMGuH0X2J+V8m/ARj4ZhmEYLycmjl9zIiWX+NThaO6xasUlvmJu5EuLc2U0VBeAeePwgzsOW+seV3YI1/ckLfx1niVtPDtWHfDewxG+fDNiOwnkSCKONZwJEOGyaiWNWMO1iEvpbBazSP2rJI6nOszag0wxObJeS3R5KAyZQUTZCZbwLa5EWSXCsxCuRG9Sm1S0HlSBlvAt2U5KmctxkUqtYxqplJ1oXa86XnaYk5B3aT1NmVYh7XzlJrO4u1LOXfqp9bhQ8Z+XIZWvO1Recb4GYrmuLN55KKzVudVbwMlFz0599VCD0j18rG+b1OUvAWt63sTFOZbXhlKKtQrm9ACEgUUjidiHM4+DM8LIU97WuTLWyzAMwzBeJkwcv6Y0HXB05vDo1GO2dAhRXOKbl8wlfpWYjuVBRt2b/PAE2Nti3NgjXNlhTO2n2PgUxCgCKkT1L2WOeZcSibX0VdxkQtNSJY4ql7h2FrmEccXIYOekj1ZFGGv6MdKyoSMMLiJYBRqQxKfKxOR6ukFYFlIpc3Fm9W9fi1ld5l2Z35uO5VIytaIubB6FlA7ifUnJ1mseOsecS6gBzu6vYxqcHzGywEW6fko79COX11E3Vh3hgfPsKoGb3WhNxFZZXZVua+m6XmflJtc90zHyoKRby691vXqWdf2gJAtpBkKQ94GU3Mtx+17eM7U4juSwbCJi3+UE64/3PdbGHa5fGuX7YxiGYRjPE/tY/RrBLHOJD2YO+zOPxQoYj4CddcZ08qLPznga6t7kpgOOZg6Hs5EEeO0xru5SdgEN4zzvfjjDZOzxs1/YFncvFgcVEHHcByml1cAlBtD3hKZFWp9z36lWxxKxzPBVFzmFbyGLQRXIqbwYWkJdOatJ0OVgLCBvX4dC6TnVvbqoxHPdr6xQJfJK6XERuEBJpq6P45wrM5YBMDugLrWGrldEMacdqKaLVM7NYxjwxQOBW8qZdWOGPiCoRCrr/tKFo9xj5+owr+p6IctCLPdDl2n5u7rJcs7p9SJK5zvsYZbRT8jucD6jc99nArpew7pGiMR57rVcJiNG4OvfuIeNKeEf/+GXEAl4cGzGN+sAACAASURBVET45ncf4t/8jW380s/t/Yh3s2EYhmE8O0wcvwZo6fSjVDrdtJKGfG2XMbLS29eO9SmwPmWEKCXXt+473DvyuGol18aP4J33TzEeuSSOxbV7784ZPuAWv/7LVxDIp3FMnN1Fdfr6SGB22eEszmFJRtZxTSKcOZU01+JvKATrNOmCG6yrqdG1w6kl1EARmvKnCFfk/bqBCGdokjSqkmykcum0T+YkhMt564EcyqgkPXEd2wQUF/cxp1dOBcVN5pxCXe5LOQYn9axC2LlqxnMSubKM82gsPQSDK+efSw9zJWLz/tL9I3XK00MP5mrEFGMQYKavf55fndx87S/XpGt94JGrDIgQY3GOvQPaLuJ00ee06hAlyCtGwsPDlYljwzAM44Vg4vgVpu1L6fTpopRO71np9IVgPAIubckH1mVTSq4vbTFuXCJc2WZM7CfcgIgS7+SJCRFweNLg3VsPcG3P41e+cgkhevRRJFSMnEKrxgiB0hxih0gEqkWyiqOcZJ2cwygPZ2qhSpScY1ZHtAhSIAlSlIRkFa4qMvULpiLk6pLt/O9ddlil2kLNV3V1s7IuhxbHuj4eGB6Pu8R+ENKFLHKpEqNJk8s1owhXoJRL6zG0qF1EbxLb6WGAliuXZRp0ls4ou84u32cktzuHd4HzteUyciIJBwPn887nh2reNEvfcykXlwcX0neexnaRfD+q803ywE7fB3q9RVBTCfMi4OB4haPTDnubUwAijuUP2TxkwzAM44VhH51fQRYNcDDzeHTicdZIKOvOBmPNSqcvJN4B2xvAdiq5Ppw5HMxG2N1k3LwkJdcb0xd9lsaLJATCWNObGWh1RvGOy6Imkgoczg5pHwihEr7qDmviNGWXOIV2USnDZUI1HxdFaKmQy0XHgErQeg6vit7sYqLqG9ZSYJZ4L+dcLhNWO1Z7iZN0zb2+ZaQSco9wXcItB0YZ11Q50eqEFkqJt0NVyiynhjrpWh8S6CG89hyrS5y2BYYhZE4vCZXYroSrlLFzdrEH2+pcq9JqLOdX93cz55LsoCFkVZCZBnxREuf6AIRQPxhA3l7fB1moc6koyGFe7PKMZEDfOx5dZIQQHxPHf/PDIzAD/8ovXvmEd7phGIZhPB0mjl8RiIHThaROH555LBspr71qqdNGhZZc91H6z39w12H70OPaHuH6LmNng62q4DXm6Mzh4GiGn/vCFsZjnwKSJIG6Tm7uY0qRTq5iiA5dryWwImK0bDaLYS2rTW5h7Q6WkmkRTm5S+n1VQMp/qSCtxFklhDRAS9zkkt6sopWS45oFd3ov1zOI81Ef6yVmOOdzqXVlwpbQKZSNRci6nPSsrQrZzU4XpNueNzsHwt+VdbQnW/uqs5jVZTrCqlxJOm6OJisOcyXoNbxMXXxZNfUX5wcWBDify6/1QYQel2K5/05Tw0mD07S8XlLNmVA9aNAwNpeviaBVAzLCSfvW9QFBH1KVQuphllC4ocPcdMCidfjo3gKAiWPDMAzj2WPi+CUnxFI6fTJ3aIPD9hrhxiXkXi3DOM9kVFKu543DBw9HeHDEuLJDuLHHuLRt/eivG30Avv9Bh7dvnWK56vF3fukKDmYO791zmK0Y01Q9ILNoi8AlYgQCQtDviThWFxJcXOV6mfaVigAigF0KcuJaZYqoJcCp6FPnOItWIZfhPubMVgI3KWt1M7VEW8RxEYrqJpdwZnVwUQKm0ndk9rEKcMoucDmxdDlpf1l8cjWOicrF5DFLWejXIWIaUlbmEuu1V4cr5eIAWJOzqXqQkPqGtYdb8Hmclm7rXblPcmtIfm/ULxEAxy7Noy7r5etN951IHeb6vaCiW0S2vgbZOeayXiAqYV6kielVSTZJqnUkyqFwdw495o3DqiWsTeRVCRF4994Ib96I2Fx7/OfAMAzDMJ4GE8cvKU0HHJ55PDx2mK3kQ9TOBuPyNn/yxoaR8B7Y3RTHeNUB9488Hp0Ae9uMm2kUlJXjvx6I8HBYNRGLZQ8A6HqHh8eM4zPGlZ26VJYRAidBI6KGWESJls2KW6gjesp6+nUe4ePr9ZDnIbskhLM7CV2GLLbUpdSeV91HaSEuAV1DOYck8GRn4v5SEZtUxizVm+os4+qI2fnUeyP6uwhmFbNeBSmQy5+1CoPYPSZ6a4c5J1MTcu+1XmVxeeugLRWqclzogwO9eXzu3lSzjynqQwPk8nXi2nmW42o1ATPldO5YO8di0ecS50iURmGJQOVqnwQtzS+l1OpiZ7c5ngvzoiKmtbS/D8ORT+OR5CnMV6VCqgvyp+kcNtfs96FhGIbx08XE8UsE83AU03wFTFPo0sRKp42nwDlgcw3YXGN0PXA6dzg6G2FnHbhxiXB1h7C98aLP0ngaAol73PYBbV/s1y4QQuAkHhnEHjEwenX2ctm0lreWsupS+lxCokoYVi1cC7k/+dwyXwlhlbXEMtaHwXCDUu0kX8+lUCNtHSOVnmC4HFCli/JRtJw4rZd7mAfC9dwxmLWQOZ29fpX+rvp1i7PNeb9KfS61EM6rDBKnhzdRrm0orGN+mCCjobJgTueT8tbEAc4OfUmPjum6dJRTfb4qyoOWULOEkmmomF6j9Ctz5RgXh16FsDrI4LJtTBUF9UMWKd+v+pKjQxc5PbiR9+pkBMyWhNmSsLspvwRz5cOgwsAwDMMwfjqYOH4JeHwUkzwRv7FrI3mMnz7TCXBtIh9Qz1YOt+553Fv3uLZL+PwVwpbNS37pmTfA3QOPvfUlVm2PL39hByE6NB2j7yPaTmb+SM8xS48xFVc3MhADkoApTh4zp8Rgzk5lFtBJ9Dj1aweiMHUDO1fNwKW8njqm6vRydVw5BwdW5zOLaE6jlzgLXwBZjBXBLFI41E4vpL+49BIXYVmHYrG04JZxTPkOV2KWtUxbviPnTVrhnYVmXVatx0HaXo5RhDCjzFfWPm45U5+2qXuYdZRTEdZaaq3XX0Qv54cYcOo6p4cOUUV0NRpKz9kjO8f6TZfnJpcqgnoMlOZte6lVzyFdAOdy7LqaIJdTx1KBENN6MUpOQgwlEE4e0IykEqIhREqONzm0PeP2xzNc3pLeeoXPvQaGYRiG8WkxcfwCabrhKKZIUjq9d8lCk4xnz8hLVQJvAosW+OiRx9GZx7UdwtU9xu4mW1/7S8TpvMPm+hiTsSTVr3qH772zj5EjfPkLO4hRXGImoGlrcSzOsbrCuc84cuUGI/ULay8ogVJMcklBTuJYGmEHzrLAWYhlV5dzrFMZJ4QijLkSzA5yrtrTrKg4JuKc3JyFZhXIVYvtobhFsZJR3GQ5YxXRRRSKsK5c4nRpWXxyfXpFaObDaDBWLXCdjj3SrcqyPPc4nWO+vupcNJ6LknhNrc7lXudSa3WSk2CuZynrfXbaE5z2BUnOztfF6uin1z1dQowx9xzntGp9fwAI6WJzkJqWWKeSfXWLY+o91veUPnjpQim7DkGSrImlD7nvk9AmRiSHw+MWDx4cYeo7/MbfugpARhv++V8/whdubOCrb+7+uB8lwzAMw/iRmDh+zpwvnV6spK9qd4Mxtd5P4wXgHLC9DmxOWcK79kd4cMy4tEO4vse4YonoLxxmxp9+6yG++uYevvrmLkYeaFtgvozZ6ddAI2JC18csKiWtmnJJqwrNkkRdQpMIlWB2RQTm9aNDJbPKtlyWldFGDDjOgs2xJkGJz3neHYUrznZJxHI51Em0pJZQ173Esr/sEqvTW40sAkvZtkMJmRr2A9duOHJgWHFn9XUYfJkfHqlYBxjs/LlrK+OYVHgyaqFfObjOgVEeELgkXiWMq7jg0vs7FOrSN0z5gYCrBa4+JFDhz1W4GtSN5zSuSQWulFBz5cjLGK3q2pjgU0CanjNTWqbHAFL69PD9ll3ltKwPOksZ6KOIY2ag6yP6QIjk0wxkjxAZhyct3r8L/NovXMZ47PHDuyN8770Ou1v2scYwDMP47NhvkedEiMDxXEYxHS88mhbYmALXdi012Hg5qMO7mh54dOKxfyrVDDcvMS5vW8n1i6IPhFVD2REej4DjWYfTecDGVJ5chOjQpfE4bU9YNgExjhAiydgcYoRICDpSh8v8WRXHmjjNXEpkHVS0cHYRiwgFiMQddpWTXMQTsrBSkVqHdBWnNznHaVwQZ4U8DG1yYDj43GcrDmk15zht5uDA1UxjdgDyv7OlZ1Zw2cHMbi3OC9fiJosQTjK1cp2zSD133VCRipJyzcmJJl1R77WrttVbkwRzpPKNsl61fTWbmVVZVw8ryjW77ORqCJpzXo6hx2XKs4+1t5fyGKiYy68Zqfyahg9eVFjHdMwYI0beS2hcrEY+5TLwOqSLpSe+l3PsQ0z/XQLj+lR+vVj2aLqIdeexaBirNuafEcMwDMP4LJg4fsYsGuB47vHoRFKniYGddcbepZJ0ahgvE87Jg5uNNC95nuYlb655XN0hXNtl7G3ZQ53nyQ8+BvZPI97sywf/o1mL2aLHjUs+p/3qn74ntB2lZGFCSK5g3e9JJKWwIlB0AnEJaorJtRT3kXKPblGCLqdVF3FY9qelwLrPXHyQlJ0K9Cwr65TnalUiygZx2d/jbnIJCJOdOPihw8yucsKh2jub1HnsE6uDm/4byKI7B2jVl4JKRDMD8NKTTJUBDg9wLNeWXGzdFqwJ2kWA5/CuxwSzitlYub+l/Fp7e/X8mDWFWrb23uX9yT3UMmhxbZk5OdYOJNFeObHa5/CtdD5UHp5oLzeY4FKqtbzXRCh770GRSk96emqRqxYqcVx63cV17tNDnRgZkWVOdx8kZCwSY9k6LBv578UqAADmK+CDRyN89fPREvkNwzCMnxgTx8+ASMDpQkqnj848Fo2EIF3aZEzsjhuvEJMRcHlbPrguG+DjA4+Hx8DuFuP6HuHKNmN9+qLP8vUhEvDg2OONy5QfPjQd8OiEcHBCaLWXmIBVE9G0RQD3cST9xbGUrYpTR6BaXFQpv7kvFBjUC8uy1DiKOrBL1+PiSMqe0g6LwNW+2sFc3OT06jFYm4aTLCwzjtUlruYh69/ptAamKUsQWBbCUmk9TKZmHiQ/60lmQZ41ehHRgx5jFZT6GCAJXB1ZpGOqnM4WRinVLqOcivIflDfnA5ZrVQda+4bVsWbWec2p/D3tMPf5ZvcX4v6mNXQ29KDUmlJvsk8POlCSxktIF0oJuoperRpgYJS2zQ5zEu+RS5k2wPAjnysVYiXe6/nZOidbBbg6xzEQKErlA5HL1RDao9z1wKKJIIpYrGSM2dnKoeuBb7x1gtPTM/yjP/giDMMwDOOTMKn2U2TVAkdzj/1Th9nSoY/A1hrjxh4sddp4pfEO2N4AtjcYbS/p6oezEbbWgWs7hCu7jL1NS1d/WpYN8NGjgFsfHOP3fu0SppMRThcOJ3OGd4R5csUiy9imrpcxOSoQiKXclKm4xCI+HGJy7UJ02bmU2bMqNpPMVSfPF4GHJD5ltE/2TZNbKl9JvzFlR5JZxwlVI5+yCHUDp5dTrbA6wuJEp9JodR+TuD3vErtUjlxSrXXoUiXoAejG+fxQnHFOgk9PUsdAqcgXh1juWx69lK4jPyTgsl4tjGtXN49GQnUdpPJRHwnI6zvcVu+JXorLTnAW2xoOBuSy79w3rOtW2+o5g8URjng8zCuPhYp6DH1/6K1Kr1sq+5ZbSJLEncr3ZTXtTRbHV/YhAV+RSsk+p6cfxT1OD3k4JagnYa0VEvpwp+0dlq0EdzVtRIyE8WiEpnd4/84ca+MA7aP+8JHHpS2pfjEMwzCM85g4fkoiAScLh0N1iVtx27bX2Uq5jNeStQmwNhF3Z944fPBohHvHkm59fZdweZuxsfaiz/LVoe1EJEzGHn10eLi/wv7+Ka7sePztX7iMeeOwWIlrtmqSOI5ICb8MSqOXuuhyeXUJ20qiMomQkOYDMyiXCWuZaxZ0qAKm1Kp1Irpz4nMSwkRJLCYHMo9jUmcQ1azidAx1ddU95LQesqBON4ZLyW4W0ezg6tnHrghK/T6zyluU9Spq0TpYpqI3X4e6rUVsqzAcuL9JQKqg1h1SrA6hpdFUwrfUYs4OPRe3tghamWk8DBHjKtW6drylvp001CwdljBMtdZkahXCcCxhaazhWOr+urRxnXStr2Ulen0RwgDy7OOYRC2SS+2TwxxCep1SiTenBzr6BIBTwNfw4Y7OP07v79QiEKpWgRgoVVAAbS9joJYtYbaIuLwto6FGoxGO5w4PD87waz+/jvU1Sxo0DMMwhpg4/gwwp17ihcf+icO8qVziXXOJjYuBBnjtbg7d5M014MoO4eqOuDOWdP3j+aM/u4fNjTH+8Hc+J/3C5HBw3OK9O2f41a9ekmUhou85u2Ih+tyfGbRPM6ayVBU5lfM28uISy0gn5JJlouL4UaRcxkwEcY5VLCY3WUKtVLipEE1iGyLGYuTUX5xSo7V0FlV5Lsq5Qp3jKmiLtBY5BW3J3qQ/VsR7caJ1nq+Gaun+JVxs6DBn7VqM1Kxfc89slQWhzrg+I9AHB/pgQUuZVQAiHT2XQesjBy5i/bHy69oRhgZ3ldJuLU3X10lLrcF1iFgpq+bqAp3z+dw4l5JXy6pFRCI69Ry1dFsD0VQck5Za133IQHkfsfY1cwlJ45KwnSsQiPL+tMSemfJDhtwLzwzvfJ6V3KeHP4HkoVCZnyyl1l3PaLuISBPMzjocnvbY2UDqUQbOFoQf3DpCu5ri7/7mzU/+ATUMwzAuFCaOPwUqAA7OHE4XHqsOmI4lzXdqd9K4wNRu8qIF7hx63D+SMuxru4zL24ztDZubXHOycDhdMBarPgc79dGhaeUD/mIV0AdCIEmcblM/cdcTQj1DlsQVUyHsgIHzxkQpKVjmHatDKv2jLicPx+T4OYjrV0RlCokigL2W85bwJ6duapXmDNZ0aQfnJG17wiqoXC7PLUZoFaoFIHnMIqJZxJTsXXuTi3Cqy42zI+yKK5xFbz5uCY9yDmV/efu0Hoqwy+nQ4Ep8It2HIpD1nHXbnFaN4vQSD8u5tY84l29X2+WRSlBnPD1wgMuOMKAOsEuis1QAOC1Vr8Yvac9xdrFdVWoNMYtLmXud2C0PxGSd9NrLDuWYOdV6OBu7PhftYdYXzHsPopj7xal6r2oJdRkhVdLWkUS2CuZIOrJMUq67jhDhsFj2mC8j+uDRB4Jnh2UbcXLW4fRs+PO4f9QgEuONaxuP/awahmEYFweTdJ9AiBKudTR3OJp7LBtZvrXGuLlX0koNw5APzzsb8sCoC8Cicbh1z2F9CuxsMq7tEPa2+EKOhOp6wrffPsSvfOUStjcnuHfkcfdRi8NZwPqa/FMcItB0nEbVUCobdZLY24sI7gIhRIdIUswbQlWqSjG5rcXJY8RcVt0FAiXHWBWblFTLjFxoJW1ELgXWYKtawLgquVlcWspCqQ+M9SzskK8LSIFcDlUvcQmU8k6c7axv08Gz8FSH2VWONgAkAc4MRFWo7AalxyI8OZdLh5TwXPnMJfWZRX5mEe3yKtDS6FzKnPai15A596WvBC6ywK1c4+SUDsvIkYSrCuhc0z5wiYurWwtwLuvpLVFXXR1wFeWc0q85pVqnhmyfNi7p1/p6cC4ZZyA5wtX7LfUXqyhHes/oHsroMMrp132s31uuuMEMEEvbQUhl1CHN2nZwqfeYkossqextkPc5j2S/IRL6Xn6GwEDTEVYt4WzRo+sjvB/hZOHwrbdPMR5FE8eGYRgXHBPHTyASMFu63Eu8aBwCAZtT4OqOjbAxjJ+E6RiYbssH5qYHjs8cDk5H2FgDLm1J0vXe1sVIuw4R+NO3enz00RLOOfyrf/saNiaMBwc9Dk4ibl4W4dL2yAK47rEMMaYP+oyuE/eMmaRcWkOOoMs8SF3iVFqsM3pDLAJGA5xiYJBTAVN6TyU0i7KbGSLDoziDYHGYnZYAJ+0maccuS08AoKTk6rLnEEmKsYnzSKZBGbOKVhVZrKFTqRQXQPFy1YVVXZr+X91LLiXJstwlYeiy0Ndzy03Reh75uB7McZgsnf6mqjdZBau6rvlsuBKqDCAJUuKqq1n7kNMDCy2h1m3U3dWAr7o3OSd7oxjnPrm1JTVa1uTklBc3GSl8q7jEItQr8Z1W5LRd1NJtVO40cT5ncBoVlnaiFQhFREs5vKRay/2Jkcq2eegy4J1HoJDEMeRhTCrX17nJMp8bCKms2k9L9YQ+aCIG2o7Q9Yz5MuD4tIMbb+KHd0d456MOX7xO6T0H3D/yuL5HVhVmGIZxwXgm/+w75z4A8AEz/71nsf9nQSQZ/XCqgrh16ILD+kRSeG0Ek2F8Nuq5yUTAqpNxRQ+Ogc014NI24fKW9C6/rkJ53jgsV8CDgw4//zNim/cRmC16nC0iQowgYjSdpEq3vQgaLZfuuoDxyKPrI5ZtTKFNEaORz8FErOLCOwQN5kJy4yAipw8MTqFPLonAkHqJneOqZFnOW0uokYSIZ0nHVkc4RsY4refSHlX0ajCT9CEnwcwpOMqVVGpCOYa6xHB1H7KItTyySM4MlMSTCkFxR5NDmsrDRcilgmynWxZBCVfKqfOsXleEdSmN5rwtpfJmKcnWHm1VypWYrRujtWRc91c5vSWk61wydT6OiFlxXN3gGLVQr8dFsb4m1XqD46IEcuUC9nTvsmD2JXwrxnIcFf6svevpiUCsrgP5YccwwIxTGT/79MBEFHdxkyMll12cYk5VDjqbuQ/qoJfQrzIKSoVtSr+OaYwZUS6rjt5JZUbPaHt5CDXywOki4mwZsGpEWAca4dGJQxc8vnyTfsxPtmEYhvG68Vwln3PudwD85wB+B/Lr8s8A/CfM/NfP8zyUEEUQz5aVIO6lf3JrjXFlmz95J4Zh/MR4D2ytA1vr4ugsW+Duoce9wyKULyWhvPGKCuX5SsT/xmiO0cjhjWsbWDQOx2cBbR9wNpc5rG3v0PUBTSdBQk1H6IL2ToqgbHsCsUMIEZPxOJdXxyQatD+z69MIpVSqmt1frkSSBlR5IHLMZccxlQ4Hde2QQpVYSlrVDg2RMaqcVOeQR/BQcn81YAlQwYy8nog0Kn2+GrRFsp2rXNS6X7kEOA171vM83qq3RXpoh751SaEeil792kHDraAaHfrdqDtx5RvqEhddWsqOXbVxLCsMZhUrOiNZ2n4rUUnDMm0Njdb+51yunsRo7tNOKrVO3c4CXI9bnUudDD4IB0s3SI8r5fTyP5/KvCn1+qpzjLReJA30qvup9b2BtJ7cZw2AU4dZ7i2VcniScWIqogkOfU+yLFc5JOeYAaKQX9tIDEQV7z5VVxA6yM9XHxl9kPc8yGGx6tG2EU3LWLURzo8xWzBuf/AI773f4fd/6w1Mxj6/Ryw7wTAM4/XluYlj59zvAvh/AdwF8J+mxf8egK875/41Zv7u8ziPLgBnS4fTpcPxmcMyOcRrE8bWGuPylvURG8bzYFT1J4tQdlkob0yB3U0ZC7Wzydhce7k/kB6dttjZmmAy9nhw7PHO+wvcuXcPb1yZ4J/8W2/iZAGcLQmrJuL4rEPbRfRhhL6XMt0+EpZNRCQHoh5+NEKf0neZAYoBo5G4aV2gFGwkjprOL2YAMUqzMLM6b8iuJ6Dl0sXVBVLJ7QhAFnwuB20VISw9m1NUQji5e2DkfmURwLKMSrNvPhcd+ZRLhzmVbifrM48DUgHoiiubo7rUvUyCklEeApQyYG2pznnRSIeV+5CbfVH2Wb2euZeY6pUwXEm/fMK2xMi9u3DaE82D+cDOu+waZ8M1hWpRrK+jCuSSuPBK4JZzcqmPW4W0CuZ6pjFDy6U5i1c9CjOSE1uO6yqnWJeWsVLplqhLTEVsa2W69g7L6LAqpMuX9wfrwxOfqhJUMKfRYSqEmYEuMDCR96z2cWs1RAiUAr5kpBO8AyPCuTQXORB62WHuvw+B4cbAatWj6QhNJ4nwo4n8TH/33WN86Qbj1xc9ruyt4e2PR/jw7iF+9ctjfOlz2zAMwzBeP56nc/zfAugA/D4z3wUA59w/B/A2gP8SwN9/FgclBlYtMF8lQbzwaFogkJRMb60zrkz4k3dkGMYzQ4QyY2dDnKVVCzw6kdLr9ak4zVd2GNvrjJ2Nl2s81GIV8bW/eohf/vIefvHLe/AeeHDU4e7DFS5vjxCJsWqLS7xqA84WAZHW0PcR4/EIoWes2jSGKUaMxx4hSDK1CgrvvYywCUVoahhS13N2jp1PvcRJ9MYUciTLkIRrKbXW8cV1GW4MMo6pCFwNsVL3d1jWq6JLBbM6kM45OMfZMdX9aehSxgFglwUcVyorm57JYVaRpeLOweWgrSIWXRKGct4OpYwcKgyrg1NyXJEeCqjoVdGtV5ivIev+UlbN6bg6d5myoFfxXoQxoA9h9Vz0sUR1XnUZdCzXq66u7qouyS7HSeuhBHTVjjCoOPJ6XA35qkvBs+glCSqDlxV1VJjeA33YEdNgYxW4RKWPXA+k4V36gKWcSzrH1E8dI4NG6TVJr0eMDIwBSsFznES0vP76viyl2y6Xsksvf3AAI0LC6xz6QOAANF1A24tzvGwC1pzDqotJLBPaLmLRACcL4K3bpwity+I4nbJhGIbxmvBU4tg590WIsP0HkN+vfwzgP3jCel8B8NsA/icVxgDAzHedc/8rgH/XOfcGMz94mvNRuiBieNFIyvSicWikkhEbE2BvizEZmSA2jJeRkQe2N2QMFDHQdJIYf3DqMB1L7/LetpReb68zNl6gq3wwc/irdwJufdTgxmXpJV51wNkyYr6SUs7FihDZoVn1gPOIgbFsVfQGTMZjtD2h0WWRMB55hBjQ9TortjhvfdA+2Zj6QrW8mXM5sooGUusP4iCGyBireKpEyIiLIwzItjp6SQSuQwypdDupae8cQqQixtTpzcnDSSQ5rtxfqtKqVeQnkZSWae9v7ldO4gxAFkm6XaXdS6lwdpQTtcBVL4GXHQAAIABJREFUAV7mNuV1cttwEur64IDr46b14Aab5v5dOC1h58GDAzif7wkjhYlxFdpV/zoiDcfSoDMV27ULXvp59dw0oEpHKjGkbxjaQ86M+tSLUOe8vopthvxMSYly7WIXkU+6ARf3NwthVzvRDJ2rzSQPK9jXApzz+zc/DGAJwZRS+1LuH6OU+4cYc8l4nwQzU8wPA/rA8CMgUsyvR9szaCxvHJ0B3gcCRySrHugD0LQRbgwZqdYRli1h1UZE57F/0mO5DDg5A+bLHn40wXsPRri61aBtW/zsF8xNNgzDeNX5zOLYOXcJwNcAfBHAfw/g+wD+AMD/A+D8LITfTn//+RN29RcA/imA3wTwv3+WcwlRRsYsGkmZPl15tJ38opukD9M769LvaBjGq4N30ou8ucbJ/QFWncPH+1KqujYBNtcZl7dEKG+tM9Ymz8bJaXvg+x/0ODg4wK/8/B4+f2MTD08cbt9tcXDa4d7+En0Ql3jV9OijQ9sTFqsAojV0XYfxeIIuyCiZPjAoRkzGHn0QV5kiI8SI8WiEnnp0gREDp3vhkhgA+jSNVtOb+8AIKi7SLNoYGdEPBUckhk+9oc6hzDlWNzQJYS2DlmFRENcuO8dJALrS9ztIxNbSaCSxyC4lZyeXLfmjKqKl5Lbuj02uM4ooI5bRVd4j9eVWgrcq587uqiuzioswRyoBruccu2GJMopA1vVUzNfHKT3WQAnUShvinMubvlMLZgeujluXI7sUKqY70WNoyTjraoAKbVW8rJ3L6hLLvY56zvUxUOYaMxcHPCdJE8BeHmwUdxr6bkjl0uVctLc4z2HW/mIVzOXWyOvu9cWVm5taf6EXzOD8Xi0Pd9JDGyCPfNL3uSepkODkYneBMVnTkWXpoVJP8COHGGMq5+fkHDtokX5kSM/xBAAF6VXuGW0bwWPgbB6waCMOTyIeHTXY3pniwRHh//qzh3jjUo/PXd/A2nSEZStp/S9ThYthGIbxk/E0zvF/DOBnAfxTZv6f07L/zjn3XwP498+t+/n09108ji77wk964D5If+IilUvPFg5N79AGYJQ+MO9ssI1gMIzXCOeA6QSYThh7EGHW9MDZwuFw5jHyjPUkli9tSYbA5pokYH9Wsbx/1GBtOsLu9gQHM4/vv9/g9vtHOD5t8I//8E2smhGOTpZoWsbZosfBSYc+ThC6DmvTCdqWsGgIXUsIFDGdjtF2LdpOPpiDGePxCH3oUiCXKCNx/ERU9kQAxAEjllLQ6FR4VS6xr4SEOnQRUMEhvZcpVCuJM+8klMjTUNSEKKqX1U12QCAN/VI3Oa0H5Bm94g4WgaUSVUuoc1k1ykzinH6t4i4JLZ/Kr7MoLKo1iT0ROF7LczmNNoJU/9azignS46tvgzJ1l7NgjqxhUgkuf7TUWoSr7iedCzAQvarqq3begfOcXyOokEV2hLWsmoriLSL6/DKU/m517tXRzanWSOeevtZTAtLDDn0vAPm9VBxwQPvAz+nb8iAin7UI3LLPMn4qB6elExxUArjkkkekBzl6+1yZuaz3NL3fJmlklFZN9LkXPoXROYe2jRhtACEESbqGiN6NNaDre4zSsrYjYArEEOCcBziiaSLcNL1D071rugiaAH3f5uCuxTJgsu5w79ECdx4uMQLjeNbh0u4G3v7Y4/79ffydX1jHz9zcgmEYhvHq8DTy8Z8AeAjgfzm3/L/A4+J4M/3dPmE/zbl1BhCLY7NqJTzrbAnMG4+ml/Jpj+QerTEuWZiWYVwYvC+uMiCji9oeOJk77J+KWF6bpDLsTcbmuojljeknOzqzpcM7HzT41lv38JUvruPv/fbnsH/qcPdRg8MTwtm1HvvHPVbdGG3bYmNjHWfLgIPTgFUTwYhYXxuj6XoslhFNH+FYHOEQUzJ1T4CTD/TE8kFdBbOGDXVBeowFEWMhMII6wulDfh8ZITmpvipB5VERHEj9wGMdgaQucWCMqIwNEue4JEyXsmpO7qf2lCYBo06vExGjDjNXokYDw5g5C1cNfsp6EpWY4nLW4Kp/Nwm2WriqEJN13GBEUHaMKR1Xndm8LXLw2EA5pi9jVX4tYVlcyq/BEJu+CNRafGdxzOI8a6r3+STpx8qqMQzV0svNJmrR34DOda72UY7Bxa3NTdqlEqB2rdN0pOLy5mMUx1rvf3aWzzvC2U3W9XTMknZh6+uTHoBk4S/jxCjW70EpjZ4QBu/LtmdM03F8Wtb1BB9ley3FbzrCBqfQOufgncOqiVjbAfpORqABEoI33nIIUUS0H3ksVgGTbYcQAjT3fLEK4IlD6HtJkmdgseoxWQFt22PVRszmjOPTFqu4hdt3Gnzv7WOcnHj8O3/3C9jaXMPJwmF90mNnw6fjG4ZhGC8jTyOOfw7AN5g51guZ+b5z7uTcusv099oT9rNerxMJuHtAaHtxhhcrhzY49D3Q9hLEMx1HrE0Yu+tFDBNJb6JxceD0qVCdjcEHOebBh796xmhO09VyxnPfz+WPXHon5XjDfT7xe+DywRP1/ml4HlTGtTCpMOCB46QfPusP2ec/RZ/7TF3KMz8l5x8qPf6MyQ3+s+7x1XLavCx9aM1fesDDpTClcjwVcfLffvA9OYzLruXg6+qYur5+7VD/m+DQRSdlyNFh7OVB2mQErK8Bm1PG+pSxNnEYTdbw/p0ZEBv83q9fx72TDfzLvzjCw0cLMAVcu7zA/nwLi8US07Upjs8i7j5qcTTzYJJQrcWyw/5Rh5O2A8UI7z1WLeHwtMd81YOIwM5j1TGOZz0WIYCIEHmEtmPM5gENB+nTZIemo7xM59w2HeFsGcGTACJxghsmnM17uLWQZ822gTBbBEw5gNK2XWCcLQLcNKRgL0LXM86WEW49yv6CrDdfRmz2Mnu5D4Qu9Um3ncxYDkGEvC4jkoqerpfezraP6HpCCCLwY2R0XRQnPEqpaohSrtp2JCncPSFEmeUss2YJbXDpoUdE08Z0zh6RnCxL63VBEs+7PqJtI2Jg9D3Jtp2s1wdC6EjWS8tCevgQCVg1aVlK/w4RWLWUlrHMzI3iQLZpfzESAgGLRu6DXmscAcuGyv4iIzpZ1vayfyl7l0C3pov5dWJiLFcRbZfSrKtlTYc0tkh6ixdNRNOm8mISB3bZyPlpQBaHtF5aFiIj9oRlI720xBLAFkJa1pRziZGxWEW0vbzGSPdhviJ0kGWRGQ1HzFcRwcXUN89oiWSZT8clRsuM+SJgtCHvXxmxJO/L8Ya8f0NkdE6WbY1DDvDqA+NsHjDZkHLnEGTZ6TzCr4V8vn0ETucRm7vpNU/LTs4CNvYimk6O00fg6LTH2nbEchXSXHHGwUmPtd2Is3kLZvn348FBizfWCCdnKzAc+si4u9+AJoTVqkGMjFXL+PD+AntXL+Hh/hn2j1t4Zrz70Rk2tqf45vdP8XD/CL/0xTH+4LfewPFyjOkoYmP6Gf/RNgzDeIWZTl9eN/N5FR7fS38/qXRal/1Hzrl/BgC//OXd53JShmEYhmEYPw3+mycs+6+e+1kYhmG8GvjxxhOrhl80TyOO3wPwVefcqHaPnXOfA3Dp3LrfSH//HoD/8dz3fhdigP1dZn7wlV/8Nf4P/7N/LmWP2UGrHTI+t7z6zvn1z9lotbOX9lRKw87tvlSXlZUfW6Y7Gaz/OPUxnriPJ/FpHiZ/wsOX3CH3BLev3rx26XQ7XVbvw1UbZYewcgI1DEcDa4YOoPQ5ah+eTzt0n3QRaX/aP+a9y+6jOodPWqbbOJS/nXe537L+W8zL4TbuRcUgG8+FEIDZMuLB/hl2dzZxunD4wfunmM1m+I1f2sP1G9fwV2/P8PHdY0zHPX7zl/dw/fp1fOvtGW5/dIBL28Cv/NwWbt68ie/8YIbbH+7j6p7HV7+0gRs3buCt22e49cEBru55/GJa9r1bsuzG1TF+9o0Jrt+4gR9+uMSt9/dx/fIYP/u5CW5cv4F3Plzi9of7uHFpjC/enODGzev44QcrvPfRAW5emeCNqw7Xr1/He3dafHDnENcujfG5qw43b1zHrY/TsssTXN8D3rh5De/f7fDxvSNcvTTB5W3CGzev4cP7Pe7cP8SV3Sn2tgg/8/lreP9+j7v3j3D10hq21jp8/o1ruHtAuHv/CJd3p9iYdPiZz8uye/ePsLc7xfqo+//Ze7NYzbI0Pev9vrWHfz5znJgzcqrMquyuLqrK5R5suspt1GDAardoCQxuGRCNuEAggQUXGAkEMvINAmQhNYMtZLhBstsSN40EomlUZrDbPVV3ZWZlZWZkZERmxDkxj+f//724WOtba+1zIrNyqjgR57xPqzoj9tnD2vv/MyPe/b7f9+HcmQ18eEPw/pUdrExbODzEudPr2L3jcPnKLsajGpU+wvnT67h+1+H9K7sYD2uIf4jzp9dxd6/Bpcu7aGsN286s48GiwaX3r6OqFA6PcP7MGubdAO+9v4MQ7n6IF85tYClDvHdpJ3QpxiO8fGEDCwxx8dIO9hYe0j3Cqy9uwOsI77y3g/sPlxD/EF95aQtSjfHupR3curuA+kf4yS9tANUEb1/M237i5XU0wxX88N1r2L21B4c9fOXlNQyHq3jznWvYvfkIlc7x1ZfXMJys4fW3ruHajYeo3RxfeXEVK2ubeP2ta7h89S4G9RKvvbSK1dVN/NEPruLytfsY1gv8xEurWN/Ywh++cRWXPriL6bDDly7MsH1iG3/wxlW8+/4drIw7vPL8DNvb2/j9P76Kdy/fwcrE40vnJ9g+uY3vvbmDty7ewuaK4PkzQ5zcPonv/WAXP7x4E+srii+dH2Jr+yT+8I1dvH3xJrbWHC6cbLG1vY033rmFH7xzHVvrDs+farG1dQLff+c23nrnOrbWKjx/usbW1gm8/s49/OCdHWxv1Di7VYXv4PsP8OY713Bitca57bDtzfcehO/veoPTG4ITWyfw1qWHePvSDk6s1dheFWydCN/L8P2tsb0KbJ/awg/fe4R339/F1lqDjWmHE9ubePfyHJeuXMf6So21cYfTpzbx9uX4/V1psTJa4szpDVz8cIlLl69jfVZjMpjj1KlNXNnxuHRlF7NxjelgHr+/Hu9f2cVsUmPUzHHu9Cau3RZcvLSL0UAxGSxw9tQGdu86vHdpF3UNrI46nDuzgRv3FG9f3EXtgLXpEmdPbeLOwwpvXdzFo4cP8cLpBufPbmHnNvDm2zew9+gevv7lGU5tb+DK7h6u37iH9ZlgOKhDrTMhhBwzBq3iL/3TFx4c9joex+cRx38PwL8P4FcB/M1i+7+3f0fv/Q9E5B8A+BUR+ave+8sAICKnAfwKgP/dxjjNxhV+9Z859zmW9fGUnUF7v97383If+/mBbb6vv1OMFo8XxP1fP/7nB9f70T/7uPrq/s8eJ46LKOo+8Vv+3MRwb1/72f79WPBNnllCWuXuQ+D3TzncuV3jm6+tQ6sh5l2NO7fvotYFXntxjI2NCa7d8vhg5ya2VjzObNV48cIEOzcX+OBqja1VxYlVh5fOr+DGnSU+vFphc7XCyhh48fwUO7cW+PBaha2VGrOR4LnTM9y97/HBhxU2VhrMRsCFszPcutfh2k6N1ZUWs9ESF05PcPcBcG23wtpqi8lwD8+dnmJv4bCzewMr0xbT4RzPn53g/iPFznXF2qzFdPgIz50eY9HV2L1+E6uzFtP2AZ4/M8bSz3H9xg3MZgNMm/t44ewYCz/H7vXrWJm1aGUPz5+dwNUddnauY2XaopE9vHR+DHEe13evY202gC7DtroV7OzsYHU2QDd/gBfPTzDcddjd2cXKdABZPMSXnpvgvZ0qbfPzh3j5whhXbw2wc20Hs+kAstzDK8+NcfXOADvXrmM8HkC6Pbx6YYRrd4a4enUHg+EA0s3x4tkB7uxNcPXqDkbDASqEbbcehW3D4QCVX+D5My3uzif44IMdNM0AtSxx7mSDPUzxwQfhugNd4LmTLR7KFFeu7ACzAQa6xNkTDWQwwftXrmFlOsCk8Ti1XqGdTHDp8jWsrgwwqoBTmzXayQTvvHcVqysDzAaCrVWHjc0J3r14FWsrA6yOFticKTY2J3jr3atYXxlgdTTH+lRwcmuCH7xzFWsrQ2zNFpiNPLa34n6rLTZnHVZGHie3Jnjz7avYWG2xseIxGXY4uTXBxfevY32lxfaGYDoETm5N8N6VG9hYbbG5qpgMgFNbE7x/5RZurbTYWnOYjIBTJ6bYvXEfu7MGW6sVxgOPU1sTXLv+ENdXGqyv1pgMOpw8McGN23Nc262xsdJiMlzg5PYE9x50+PBa+F6OhwucPTXBnfsddnZqrE3Dd/XcqQkezAU71x3WpgNMho9w7tQU88V97FxXrM5aTEaP8MKZMfbmLn1Xx+0DPH96Asg8bJu2mA4e4MVzEywwx+71G5hNW0yb+3jluQm8LMN3dTbAqFrglQsT1A2wu3sdk3GDlcECX3lxiqrYNm0WeO3FCX74geLatesYD2usjZf46pemeOdqjZ2dG6grwfoM+OZXpnjzco0rH95EpR1OrDr87E/N8O61AS5/eBvzvXs4e6LGL/70Cr7/XoVagfkj4NvfXMfzZyZ4sAcsl6sYtZJe9hJCyPHksxYD/nj5POL4rwP4iwD+GxH5BoDvAfg2gju885j9/y2EMU+/LSL/Vdz2byL01Pp3Psc6PhUm5OLvntRlCSHPAJMB8LM/OQUwBRBqO5/bbrDz/AiuAzZXBxi0HrNJi8mwwoNH94Ob2gB1XQMCzBcLrK/M0NYetXOxIVSH0WAQ6ptVY39gj7pSDFspXix5ONU4jkpS1yVVQVNJTmekbfZSKpxPFKgrSdvEh7nRVaXxv3bWCVrgXEhN+Hi0KFC5+PYrtHCGapgAINZ32of9nApE8otEjYkNj9i4ynsoBApLZUhqwKSK3NU54kTitnAOjc29yjCL+Jgc2Zd6scZM+QVfUZtefLZS1L2He/Zxffb4coOpdFzcplq8QLUezVqszg6VnEyxCJMIwp9y9nHCQxUob8XHe8tJldBF25I19myBolYfAutpJukZFOuTWO8vmq6b0zzlNknrtpe6WiRxvI/PSiV+7nEtGj/P+N2x56AQOEnftrR+1bBvWFxYS+UQk0YC61Du4nP18Y20cxK+07D50XFbHf99KParqrhuhJFNrhE0TuGcQESxWCxRVYq2EjgHiCiWiyXqkWLQCqrKQUSxN1+gbRTjoUPTODinePRoD21bYTZ2GI8qiFR4+PA2JqMJTm/WuHFPsbYygCwdzm6PMR0pvny+w+nNVWA5wOmt0F5l2CB+IQghhDyNfGZx7L2/ISJ/GqGk5lfj5t8C8B0A/9tj9v+uiHwbwH8S/+cBfBfAr3jvf++zroMQQn5cqAKvXfD48rmTuHbjIU5uDrG38Di9WWM2qTFtamxvDtHUHk2taBvF3t4cs0mNtgZc5eBUMZ8vMRo6NBWgqqn7b1U5DBoTzIBHh6pyaBuFqqLzgMJDVdE0GsSj9xDv4VSSEDbh5FRQuyiyvIeXIGBqh7SfeMC5IITD+BoBfAenQTCLSVIfOv26SsJBgjg6KYgSCTOU4txjRMFnI3yiAHRZqHadR2VlD0kABRGYRRuyIO3p4CyWbVyPbU8lEJIFrJpATSo5C8N0OinKK9JloriyNwZxOekFRGywB2+CL2+26xY6ET5+JvZ/6doqgBaavHgRED6nLKwFyDt6xM8obxN4OLVjNV04l7SEDtH2jDSp/0IIx8/FGhraSwSVPA/Z9pX4oCW+FMnfmSCGRcN3QXoPG6icvfzILzFc+s6Ee9MkhOPZomAO39X4Xe/Cd6t2kl4odF0H54DaKdR5iCi6rkMVBXMV910ul3BO0DYK58K/i4vlEnUlGLbh31+IYr7YQ9NUmAwdRm0FiMN8voe2bjAdO4wGDmurI+xcvY1TW0MMW8XqxOO1l1axOa7x/JkwvmkyBCZDATAEIYSQZ4PP1ZDLe38RwD/3mB9d+Ij9/z6AX/g81ySEkCeJU8Cp4vSJ0Ddi0ADnTgBbKw7rkxHObo9x7xEwGVYYNA6jVjEeVqgrj7qu0NSK+eIRxsMqiNJK41/UOwxbh7oC1GkQJ8sOg6ZCFf/i7hGEqVOgrftCWEVQVxqFZnSYbRuiIPJ+nyOc3bzaZZGUBK6YCxjnBasE51iCkPZdECuqWczBe4jLglSSWjTnWA+4ukmMCuDS9iiJgi7P51Mk9WluJuKmJMBKEW3nsy1R3GbBJmlPVTtYemLURlUlM7l4GZCFcCmagyI1UWnXtnITM4StH4Ymp9s+u/AMw+dqtxHcULu+j5+KnSu/iCiea7E+c44l27XxMw6fdX8Ocxa99pydxi+EfY/sZUB6euYKl8/VUgnxBYC9SEDhOse4gShQxTcg3ofvuSIIWailEMK5qyo78p0PqQnnBKqahLBTQeVCCgES5x6roK6Qrr3sOtROUdeCOr5sWi7nqFyFQaNoGwdAsZjP0VQNpiNF2wjatsHDex7D1mE8UNTOY3tjhGrZYmstOMIn1zqsTQbYmD1uKAchhJBnhSfVrZoQQo4Mp9c9fvnPbGGx6FBXirbzWF9tcGK9QYU5RsMKgxoYDRyaRlGLoG0cKg0ucBVjmrNJjUoB54JTPF8sMGhdcNRcECPdsoNzNSoXHGb4IBCcOjSNRa2DsFZ10RHLjqkiuHEa3drOx4hsJYXgCG5ciFpHwdKZIywpNuvjsRrFcnDtfHIfTe91nQnmEMkFkK6hMcssCMc6lSjYCmdVsjCyM0iMBQPRAY6C1JUuZYx9qyAlV+36iixSEV8GBCc6HZrOnZxZABLFZNoYr6sWKUYpmEObMI8sAp0W92ZrMdGaTxei5VGoRm2cmgum+DBMJOKAmA1rlUK3Fm6rie0o8lU0xekViG6rpPFyyWU2MRvPXdkLAruuRDEr0XGOd1m5QqWjiy9oikcYv5fOvpf2ckEBdUVzx3RsLhWw70xdRcGtSOK4rgXOafxOL+FU0dQatymWiz0416KtFYPGQUWxmC/hXI1BI2hqSWJ7PKoxGgjaymNlUuP+HcHaSgunwLnNDpW0+GE1xNZ6EMfBJU43TQgh5BmF4pgQQj4DG6vZIWpr4PxWh+7LQ1y52mHYVhg2HpOhQ9s4NCLxL+nAsK3Q1iFaPR5WqJxH5RSqwHy+xKDVGBsNkezlcom60iCYNYiJIJirGC3V5MiVEVRYHafLzllw8zq4KHRMWMMErkpyepMQTpFdge+67AxGpWMOnzPRjBCTNWdVtRBPYqIrP0dBFnwpNo6DsWqP/S5lFtClE23bc5U1AAnCS0zJpv2y4ypiwlWgvjCjsb/m2GqEcaB01CWHOq9ZVHuxb/ucsgCM4jO90AgXsPtFeSysJrd4NjHenA1wH/cz8a/pWDUnWsM6uihIpfg/xM8uOb2FG24zy0tyvbd9ZzSmC8JLgrCGIGS9COAlJxritcPnHr5bleYXOb4Lgj65xAp0fgkVh8oF0asiWHZLqFbxJVBY03KxhHMOwyY4xQBS1LptFG2lUOfw8NEClQux6qYK5Qvzh8BsVMMpMB2Fp3f+5Agvngu9CLbXPLbXKnzludNoagdCCCFHB4pjQgj5nKgApzc8tlbWcenDFusrDTxCveGwEayNGqzNWlQKDIcV2sahdYphGyLU9pf/ZdehbaogcmP8erHsQg2y+BQ1XnRLtI0LgjSK467rYgRVs2DuOgisIZE5x11wD1WCcIvOsdWAZhM2N0gyAWpiKjiaPoloKX5vQlhhAinqvQ5AFF1mz/ookqJmQ0o5w4Rrdj5D5Lsflw77IVvNj4lfh1Pm+4cK/DKLPfFlPDkLaB+fAnwU/CYQ4zmdaiHsfIixaxaSqVlZvKey47/GfHKKyfv8DMptJphFteeulkIY8Xthx8a0czHCDtH9zQ3JTOCmlxBqjy87nylCbTFoCYIbUkS8VYMzrvnZCxDj4LGWOH4DqtRUK0fLq1gWIIhpgyiEyxc0EuuLLSHglyEuXbn8XfIWoXZhe3CYO9SVYNAq6koAcVgsOjinqKvwEmk4qLD3AJhNGjS1wInH5toIy0c3MRqFvx6NB8DLF2ZYbRVnt/sjOSmMCSHk6EFxTAghXxB1pXj+THCXBMB0BMzGipMbQ5zaGuLOA2DYOrRthYHTFKFua0XlBLVojIv6VFe5jNHt7OYBy0UQzCZYRARL71HX5tohKj0fhUSu9Q11w/E6wWLNbqZK4c7GmlIVqIS+yKnmOIntvC11ifZBCIsGsZFi2tbBuhCZqdmVXTPGudXFyGx8rl3nIdaoqah7FRN24beARCEHE5Zi5c85Qh1FnJe+GC8pvOgUqw41vjFmLCZy7XCf3OFcS5wFuP3aBHOlhYPuTWgiOfRpW/ms4j1aJ2iBxrroHPEOLnF8mWBq2+7Fh++KIjwIi3MDkup07SIiuUbY3jLYd833z9qL8Jeuc3KbJdcwJ4c+Osz20sbEf74u8ndGND4v87U7OGvI5RQKi/aHTu3WAXux7FDXoQleYw9cPAatSy8ExqMad24B6ytNTGYAp7dHqLoWi0X4zs9GHV45N8Rz223vhQshhJCjCcUxIYT8mDiz0eEvfOckZuPg0A4bj9kIWJs18PPQ9bZyHk0VxGqjQWCHv+hrjFV3aGqN9brRTV50GLQVNIpoiVHrIIJj8yQBuqW5vz6JjtRxOkamXRQXopKcweDqdhAUYjk6uGF8j09RXo/oWBcdheG7flwaQeyJiZzk9AZRWQphc3Ah2Sm26HboBm1yNKCQ5Hx2xX5JGhbjmFIi27S/CtTbjYT9LB6eBG6MSnf5hCEWDBTOcRB9NnopR7B9jkHH2toQdc/CNUWeVbNzHa+eYtD7XfH4T4uq50ZZ8clIHo/l9ODYphSNFp+eS3b9+zXM3lpdQ1K9uT1ALV7OeJ/X6GJcupiOFeusw7GdjW2yFwQI30sXo9aavqsdRFyqTbaKSv4vAAAgAElEQVQ6dauZt6ZhZWqicl0Qx/MlRgMXm+CFUWgLQWqCZyUOk2GFyagO63bA2e0B6sUAq9NQNjEdAtOhDc0ihBBy1KE4JoSQHxPjATAe1On3dQW8cnaJDz6scO2awyDGqutGUdeK1mmqL24ah7oKXaeb2sFJ+Et+6Lrr0daaRuE4EXRLn4S1i5HpZTeHSFGHHOPXZU1pErioksMMoJhpnF1hE7guOdFhfT3XE0X8Ojl+UdSgrMmN+7miZhZWm1w4x5KbPSVXPJLc2ujqpmhvITJjI+R8DzFDndLdPu9rDnFyl60ZFYqYdlTqqfEXTFdb86zCFS/WWJLc37ijjUWybRZvVpRdqH2qL07CPF4nPCufBLP3ubu22ereS/rcUNxLcvwL9zi7t2mR0OJ+g8gvX0RY7XlOPPQ6bKfvW66PTy9U4kuBbhni1zZ/W+LnnlziuHHZdagrB0EsPZBQjlDXCicedeVQqWIBhH+/4vewbRweKjBogps8rEM38NmkxngY/h09txkae/3k+VOxczUhhJDjBsUxIYQ8QYYN8NwJh0cPaowGDh5AUyuGjaLR4H41lcegDl2tBWHEjKo1fAoR2jqKYxe7BYdmQzFq7YJITi6b1RhLbHwUazZNcPjOulBbPXHcBjsu1xfnbVHA9KLWAEwwi3W1TvoqCuayYRhSbXIS6qlhFZJq9lGJmYiTJA3RE20pQp2cUEkNuGxtJalhmM+NtoCc3DZtqOJjcykTpLnzc3HlQqiHbb6sGzax+JhtMNGf3gZYA624jrRGn7YhieiiDrmIUFsX6TLmnT8PSauuXNnF25qpSUgl2H4eseMzCtc/XC+/UAl117Yf+o8mRrrjk+l8rLPPyQQPn1+6FN9Bu4aNI+uWPiUpqjjT23c+zDjW8O9F2zgs58Eldg5wMU59zwF1rBMeDzxUOqxMGoyH4a9C61Pz/PlXI0IIOa7wTwBCCHnCnD05Rts6VJWi88FRfu7sFHv35vDeo6mBtlFUVZhbPB5WEAlR68oJKkjo1qsIna6juKhrq0MOwmO5zILZBFnXBYc5RZeRndlUAwrAYrileMrx6yCYUw7XHFMTsMV4p9xUK8e9swubxzNpKYStM3ehZZNwB5IjicLVRtwWam/7Dbny8Vmoe+TRQ7YxOKGpG1eOBccIepnxzm5zFLo4KD4hRXfpKHpLkzbVF/ssRHNDrhxdN2c2NCbT4BJLrhu2mmFVa3jlU7fqZKhbhDpt8+kzTqZxErJFLB3Z2c4Ov0cZybYXFsHpDcemeHrqep7d365bpu+gvRixlzuaXu4IFtERVs3dvYNznBMSToGlAnUtKVkwHtWYP9CiRAFoGsXQmnMhCOGTGy0e3XMYj/hXIUIIIQH+iUAIIU+Y6bjGdByinCpAWwGvvbCKh/c7bG8M0VSII54Ew8phPKzgxKNtHOrKwXmb8xqi1upCB+Y6CllX2YgbnwRHFWOty2WoQw0iOiu+FH2NXaq873J0OP4vzz5GUV/r06ieUqSaIE9R6xRlLqPb+wV4dJ2RXdjUTTv8OK7HXOeygRhSwbKt0RSlRY6DA2tdlM0VRhKjJljVblhy8y3rmp0aZcXmVJoEM1LzLXvpACDVQ4f9o6gsY9UR52ItcTyx1SGX+wny51G6v1aHbPFr722sFvLLjiJCLRDrn5U6j9tzS+cTa0Jmn6eN9YovMZATChLv08eXInasiGLpfXCTwwJCosH72NHaEgbhxYu50C46wot5h0HjIFKOKMupicoJ6sphD0husgAYDWvcq8OMYwBoKo+z21N842XFc6cnAIC1iccvfHOEbtliOOBfhQghhAT4JwIhhBwyL59eRrG7kbbVLrjCo4HDaFiFyGgTIqNYSBS9QVA4EXi1GswYlVXBct5h0LrCoYvOcV3Ux0bxiVjvafWwQZDajFkAEHgJtclqIlqCiEYhiHzclkQO4n5d3FYKrCRIswAsa461t81c2Oy2mmi1KLgJ8H5MO5xDYN2p48sA289GNSGLXYspe5/rfLvkmtr5wngnU8J2/s5+Fu7wwFxgIEfNs5gtRKzhQ8MqE8zehwnGVZWFtdVE567ZOfqd68LDOjwkC2Gkx9irnRaray7qwrHvfElpR5e4rCv3vkufeaol7rr04sS+b8vO6uPjGKp4f6GmvnCOY1d2Z99zFSwQXgLVzsO5kLB4oKG5ln12g7bCaBCcYwBoKuDM9hhff2nQSyO0dbSVCSGEkIj+6F0+HhFpROR/FpG3RMSLyF/+BMf8jIj8IxF5ICLfE5F/4vOugxBCnlUGTZwhW+A0/KV+0Abn2Gprx8MKlVNUlcI5G18ThW0UMJVqdOuAQWtjoMxI9bGWOXZDjsI1OZeh2DcITZUkSlIdstUma3BYU1drzW5tEriSOy7nzsomtmOc2OpOi3peiz+bQOs8YtS6aMhl55MyElx0ZC6ivub+miDMs3b77q3A50ZW6Mefw+HZwrWflXnktF+ME5eNvMwRBvI9aOokXdyX5IZcNqZKCkVnjn1yn5Hd/Phg0rNJjnd8XqkztfTPV+7nERIF2ZH3/f3S51QK5nAxc4SzEO67yakpWnSJ7RrmHNt160pTDbvV29sLj1BX7GLNfGhW19YhGq1xVFVbC0bDGlUUx3UFjFr0hDEhhBDyOD63OI58F8C/AuCPf9SOIrIK4H8B8OsAVgH8NQC/ISJnv6C1EELIM8/qJDhp42GVaidVgJWJw3iYGykFYWz1l0FQWOQ6dOmtYh1n2BYcuqKrNWyMjqQotEWoLbqaIsVFbXKab2tjeXoRauTmW/F+uq6sOc5KVeM1e8lo3b+f73Vuzo6wrTnHnnOkF0H4I8a0NY4w8qamw/VMZMbccSFuY01vT0DnRVosODfgQi9WHc/Yq/PN/4gCNz4DG78lVgcdhX5Zr2wzkpMbn+qLY/y6WKcJ3FLEW1OtFCO356r7XjCUIrr8jPfdRylw7X+pc7ZkMbu05luC9J3pigZaeaxVcILDyx1J0f+mDnOJq8q+52E+cuWASsMaBq1iNAjf87bx2FwB1qeKrgt3ujbpcHKN45gIIYT8aD6ROBaRcyKyIyJ/Pv7eicj/KSL/pfd+z3v/n3vvfwvA3ic43S8DuOa9/6+994+8938bwO8D+Bc+810QQsgR48xGh1/+9hq+9uo6AKBywKj1WJ8KRoMqjXxymptzlSLEudDtuq5ClNZFJxUSYqkicRZu4QiHbUH/dMsujeUp483WNducbnNmUwOuoKyhkCTY446pXjilo72JwtIR7mC1xqlbchdnJFtsONYNm4DbH9PeL6ztmqmrs8WRSyfR0sZS1PUilRPvc1xzja+NfpJyP2Shnut88x+36boa7sMEfLSJ7XFlwazFAuNuZSdptePTKpBcVC9Jcuda7uKGnWpsNpZfgljqIMelkcSqOfJLSyAIIHHNoTt6vLVY4+0LN1n2C2YNQthEc2W18OlnGksE8sufymUB7jRcczRwqWndV84t8eKpkLCw2Pl0WHaiJoQQQj6aT1Rs471/T0T+VQD/nYh8DcCvAZgA+Cuf4ZpfBfC7+7b9TtxOCCEkcmJjmH7tNMxIfnQPeHDfpU69oj4I4GVuriQA2jrUJjd1jMjGJkfBhcujcFQFXdxmjh+KulCJrjDEnLhcZxoi2eG6wfULdbid98k5NrsxGr1RVBfyTKwzdRB21pDLxLodawJakijPQjbFtLscJy40eRbLheBN7qiP8ea4swnzsD5r5hXOFXSwifK4TXN0W1WwRL6WHYN0y6Ehl3NhP4taCySdLzm76bknKQ6IvTiwb4VP8fgUAYePXaOjXI5usNUXm+i159qbX2xCvXimEj/P3ixrDee0BEJwvmMqQRUSm44pEISwucnI10nphSh+PUKjLXu50zYOewuk76BoqC9edPmFi9PQvXoW6/KB8BLpwukx7j2Y48KZCQghhJBPwyfuROG9/3si8mcB/CaAswC+5b1/9BmuOQVwc9+2mwDOfIZzEULIsSF0sVYM2gqLZRAklQMgHuNhhUEbazEdUDcO3Z6kSHZlAlQkzj722TWENcrKwnk575KAyXXDVvcb6okBTe4cCjfZRjm56DKHY/OMZOdMpBZOr+b9JO5TNtqy+l2NAjzNV5Z+nBgm9tI2c7az82s61WYc2/9EAUv5Shn7lrQR1s8qxbFjTNseQxLghYvdpW0mdLPHm53ppG7tVUKOacc7sWdQ1vkCXTw+vC2wmurSrQ1x8S7Hze3D9Pk0+dkUEfvkJnfFnOMQB+86Gxfl04uSMkINc467HNNOI528fQdt7JjCpxh+eG515dA5jTXvQVivrw5xc/dWmHmM/NlPhjVGRcfpqlL81CvrIIQQQj4tn7bm+G8AeA3Ab3jv3/iM17wDYGXfttW4nRBCyMfw0vkpNldbbK23AIDaeTSV4vypMS6cnqCt4jancJUkR1gKgWKdoF0lqS44jXcSSY5mcO3C7OBQgxvG8gBF/Wgck1RZZhea3NXU1TrKwOzqRuey6EJtseDUkAulkEOsGTZhKz3nOFU2W/drlUKU5xrkpIVjFnm/+6vRwTXxaXrXDPCyC7WJW5stbDHfsNywIm/PIFzEVpn300IIJ7N5X6frQuin/aKqFu/jC4vY6Coen7S8KXlrqmVufCHENTbBMjofUwRAEr2d9/si2chjwhQxkSCpnj08s5hK6IKbrMWzyN9BH1+C5P3t/sJopuL7Kx7rKwOsTOoiYA5srrYYFp2pCSGEkM/DJ3aORaQG8LcA/G0AvyQiPx/rjD8tv4+Dcex/DMBvfIZzEULIsWIyqvFzX99Ov68d8NNfO4mfeM73uvM2rcPeA0mx1EoFtRN0XW7OFeo7rc4zCJDSTa6r3FwpGKll4y6EbV3u1Gxx19St2uWZwV0XHFwnkjtCL2MTrDhPOByLKNqyO5uc42KbCWtzis0xTbXPtuZifnGKS/vgfpput+gwLC4etxtpzFJUoB7hGWKZd5RiPxOqdoq0zWfhLfBwCHHuUnRKUrkCdfllgB3TW0tUybnjtwliXwhNe4ZI+9mifFfUIYvVc3fp57nRlk/pgTS72hdiNznWWeinUVySXWxnQhrmIiMJbK99cdw2FfYqCXO847aVaY3lgxp37s0BAMPW4ye/tIlXz60e+PeEEEII+Sx8mlet/2n8578M4N8G8D+KyAYAiEgrIgOEP5trERmIiPuI8/xdACdE5F+PY6D+IkK98f/02W6BEEKOL5UD1qY1hmWs1AFNFeo2G6sLVcF0XIfYteTRS1UUydYMSZ2kRkt1ZSOfsoCzbsm98U4COPVJJnZxW6WAOMBixyoSo8tBXXsJojcLYYmNuyTtG2qBu+w4J8EXjzWxjSiiTbgjOspphJTdQ3ass6tbdLWW4tjkuIZtKjkKnuPNgNXqJkPWBKxHT4xaJjuZ6anAuD96CUAhWMO+YsLTTmcXsP3ijt6HRWVX3fb3xX62vey6ne+953ZHvRw+73zvVjttdczmDJvAtc9FJYxeEmRxri6nF1SyQNYooG1bVYWmcvbs12YtpuMKZ7ZHAIDzWx1ePNWhrekaE0II+WL4pN2qfxHAvwbgn/feL7z3fwvAbwH47+MurwN4gCByfz3++i/FY8+LyF0ROQ8A3vsbAP5ZAP8GgFsA/gMAf8F7f+mLuilCCDkubK92OLXeH1PTVB6DRtA2mmqIFcBs2qCuJTnHCqQ4qolekdAYKURbXeoUbKKtcn3x0xOa+5plhWuYAAxrVGTxmhtoFcdajXDpEiM34yqvYe4mkugN/8xx5DiOqWg6FWqYwz91n4g2SZx0a9GFuvh/6XpAv5lVioEnSWr359P60BPvdnfSewZJlCfBauHrQkT3gt77XGoUgllsPzlwLJAFq4iGlx37ZiSbq26C2cdt1ojNRK91F09usgsOsUsd0xG7qkuvEZdoHNMUa47bGmjrkIJoG0nfT2vI9ef+8XM4uz2O30VgknvWEUIIIZ+bT9qt+jcBrO3b9i8Wv77wMcdeROhsXW77LoCvfZqFEkIIOch4cHDb5syjbRTLVnO3X4kjb1qXBIpYUy5B0XnYnDzpxWZVzCHWJMhc4USWjau8RX2dRGdSUm2sOqSotbeoteaxTZ017krn1aL5ljUVQ6pNLrsoWzMvc3BVinpZk7MC2Fgpq0VOkWfrsI3oS5vwTnarZMGsAJaAQPPYpRR9tsZipRMc/+mLZl5iotUX0eq40uj0WqF1Or/EGDpMMpdNuhCPK+ukw90kYY0gcG1r7gqeo+0metO6fXad7TtiL0TMCbbt+Z+h0ZYTSyJ41M6FWcteUsM2+2xsVrEIMGhC8mFRaWq+5WLKgRBCCPlxwj9qCCHkiLE28XjljMegdaiLms3RoMJw4JK4qaJr19SKtnFJ6IaROjH6WtQmA0U8WWKnbBRdiBVJGOZZuVGMpdnCQTQLLKKcjws7Z5EaxGw5KikLWR/j10mgm/hE4QiHi6RYtf18f0OuKBl7cWntueImNG2+chbOZlIDRVzazmqx6lJgoy9cfSFcDS+5k3Rohoa0Z/msLF6ea4nzSWyNHvGFgo/720sB6xSupSQv5zMjucH2LFNiILrc6bsRtzvN102zip2EkWFRRLeNS5F+e0ED7zEa1JiNawDAyrjDZBS+lxb7fvXMEl86s/yorzwhhBDyhfCJG3IRQgh5dqgqQVPlLr4qwKBVDFqH+SJEnCsXRGzbKEYmmhFcZKc5ag2xmchRJEcN5qJqzK5i8mezOy3WsCmPNrJjkvsbxSh8UTdcCs/kaBai2XuIaGoUFTb5QsAVbnJyXJP+DpHf/Y6w9OPXKaZdCOC8X9iSRDSCU4wuu8kQSZH2eHQ6tzXdMgEqKQoeRHV4VpKFtQ/ufYiNm1Avnen82QfRm7eFy+UO2yasve+KDtZ5fxPMdmz6H8LnHz4D6T3nPK7Jrl/UFFd5DNSgrbDX5dpkF0XzZOgwmwRxfHLN4/wWsHzo0ve35t9WCCGEPAH4xw0hhBxBzm6PwtzjKC4qB7S1w6Cp8HCvS9sWyw5tqxjGSKsI0FQhem3OceguHMVRijHnOG3lcu0pbD9XNH8SSRHoPM7HBGQWeN6cY+T629BsyyfHMuzX7/Js6+mshlnzda2mV5NClbhfPzaea22zIO26PDTIxK91v87vCGKnZslitpg5hdRUq1C+qoB0sQl10cwrNOwKH4K3qLXaHGlfdLu2u8q1yUHPamqTnV9T9B3m4EbnMUvhBUaeodwfuWXPNr9cULVIdDESLDZsc2pxanuRoahU8sxlAYYDB78nyRGu4iin8bBKTeVUgNVJcI45ookQQsiThOKYEEKOIMNBhXMn83/iz291OLmi+H9vK4ZtyEPXDuiWHYaNC84xAEhwB4N7bE26fBr5FJoq5Y7CQOxGbLowisHcuCsLOqDo/KySo9GuiBnHztQuiVQN04VKVxfZYU7CCyais6srkNRMKh1o6ygcUWBfgy/0Hdnk4No0ZhOLKBxwZLGeT5iFe/i1z9ulcH9RPCPrXo199c8oapPjcwGimyx99zfUd9uzll683M4rImkklUZBfyBKXcTl7bmEBIHkFx2Sa8EtXl+pj2ObQoLAup4LwguarsnXqJxH5ULNccnpE0PUVYj7E0IIIU8KimNCCDkGrIw9MK7x0z+1hdVpAyA7fsO2Ss6xzaC1rtYmuqpCEGXhEwSNjdIRCRHaR4iNu+KxoYkXABSjftTqd/sx6HAe6QtN6aI47AvSMFs57qLa77RcbkMh+KCxhlnT/ObgxHooNDT0gonMvhNttc79+DUOrNmEpznQmq6Rt2XBHJ3bfgY6xMaRr21joOx8SdSnZ5SdbBPMMamePeT0oiLWDBcvEmxGdXaNi5nWxXVTp3MTw+LT52ePs3KIXc7D/lXhHDc1gIFLzrFT4Ge+fgZfe75fT9zULo1sIoQQQp4UFMeEEHKM2FjN7a2dAE48hq3DsHVRKHs0laCuXBKygrKbdaw9hodW4WeDeCwkO8bOFbHc1NQrd0E2MaYSxBMku8mCIMZNMPvOXOlwbO5MHc8jJlwBmBiN+9msYYuFQ5DixNlQ1hRZNodToMGdxn5X1hdOso9zhXO37vCCITql0cGFj16wzy8CkgJPoj1eA5I6budO0kh1yPb8fLSZgxOM9DsR35/FrFmYZpFsTrf0PuPkAMu+GHz8tb3oUNX0mYoA4sqmbILK2RivMKe4cppeELS1ArWmtdQOGDSS4v+EEELIYcI/jQgh5JiiCgxHFYatJudya6XDZBjrSl3hJlqH4egIigJVFElN7ZIQbmILa3OOBUjx7NwZOdSjmrDLrmUWcqlGOGaCbQ3mNPvOOl1Hp1eLBl+FqPS9GLMJZnOdJcWhy47YSOeL9y1l5+xwA7lZFmBjkLIze9AlFm+COopSIHSQTrdp3aUB+FyHHM4fbtwX+6WxVsgC3u4ZhUMPb/Xb2VUPn40k51jKdWp+AWLOuppoRx675WItcSgzL0YzxWSB0/jywuXoe6UedaVoasVi2aXvYM3kNCGEkKcEOseEEHJMcerxjde28eWzi7Rta8XjzKbHzRuSRSsQxupojierBKEUnMG8X11bAzATXbnmN7mmyC6yWsMmoIhV51rY0mlNo4hccHUt5mvHJuFaiG2PIHQ1K8cQoS4FOGKdbopuh/nP5XzfsIQc5871wHisIxxmM9uxPrrbPgn8vL6yjjivJ7n0aVu/UZbda+ruHdcX1t+l/VSDS6zFmi0WncYxwa5tn0msKVebh112o7aRTfme1eXu2OUawygnjXOOgwiuKoHUDotleGmxMvaPndVNCCGEHAYUx4QQckxZn3qMWuk1PVIBNmaCttZUUywKrIxb3B/kWcjmLNZVbLgURWBVuZ64TRHr6BAn8RQFdT62FIiSXcuiFtbqizWqwxTtje4pYgw6HIDU6Vpg7mfITndRWIb1BHvYRwFr8d/gEvsomKP4MzcZuY7YAlgmTvfHsVQF2tkeJmBLgYzULMs2dOi76OmGSiGtJoRLUY7kopcOsz3gsItPYtdJvwZcTTQXzrGIoHb5M1YViGrPoXeSz2cvOGzmsdMgiJ0C22sdtmctfuePFJtrLQBgdZw7ghNCCCGHDcUxIYQcU5oKaKqD4qSKTZRc4QivTFvcn9R48DA0TqqieDLn2ARaOC7UpQLW9CmLbDuhCWXreC3ITanMuTRH2GK9Fm/OjrYUXa1tnBIKt1VSrDqLxxy/7jm4PgtS2z2NRUriMh5bOK5ptwPny6OTbHuKWsfa4IQUsWoPSBEPV7HVeKTRUIVDm+Y4A1HoFy8a4PNYJTkomPsdp5Hrl+2lhmTH2TlN57X4dHaOo8vv8sgsp+H4upi1vb3qATT4p/702Y/4RhJCCCGHC8UxIYSQHpULgqaMVc+mNe5Naty6uwcgC9i6Cs2UTMOpahz3E85ldadArj22XwMSYrZRuJpAs7FRGuPPyQxOAi67mM4hi8u0BhPRudGWnSc7tTkqnFznJBzDiXwxOkntQSRxW0bBQ9evbNKGOHcvFo60W88hL11ju7SPvylj2irmzBYutUhfpCI7yeYEpyh6IXqT6Jb8wiE47UjHOPFQ1dAwrQoJgZwa0BSHt89sOm2wOfYYtfmvFarofY8IIYSQpx2KY0IIIT2cC4K3jDSPhzUmowrnTo7DPhqczLpySeAqYoTWFfFaE4jILqX92pznZI4WzmYSzOZAaxbcZcOtPIs5O8hlTFulOAbZ1RXNItHbPiYi402bCDVJb/XF+R7yKCXr/hzc22gBWwdn61ZdNs+ye7Zr2LpTfTZ69d3hh764z+z4li8iyudna7Tnn55Z/HxcIZqdlLOKo1B24cYqi1UX3bGto7W9xPjZr53Ca+e7Xtdpp0BT5VpnQggh5GmH4pgQQkiP6TgI4fEw/BFhIuyf/FNne4IZAOo6R6OBILJql91CVR+c5f2iLYqr9DPksUxOC+FVuM1B5PlUC11Gj01/CXIjseQU59/2ItKpXheFqC5+7/dtD1fPDbliSTNMDydnNh7ryuPjPVg3aCkFbrlt/1rsJQEK1xlIo5XsJYNIrLcu768Q2Om69nkq0ggmE+UarxPi6kjdvC1JkCPb/Ug2JDRsq4q/UZzb6jBsfWrQRgghhDwLUBwTQgjpMR5W+M63TqXfC3KdadomQHCOc00pBBg0imFbRHALYWfx6lALG/apy3FRhZAD8sionvMpxbaeiMwiOuhD6xadRbAJV7F1lfW4MIGdHeYgQgvx+VjxWji5Rf47x5eL81nEed9a85r7z0BVYh21JBc67y9hhJKJVGQXODng6QXDPjc+rkWLFwmKIJBd0Xk614VLGscEAdpa0ET32V5MuH0aeDby+OXvnMD9hwsQQgghzwoUx4QQQj6WtWmHxVJ624LI7A6Mchq0gkETxyohu7tBpGkcDZRFm8VwS3GcBJuJ2ULYhu3WUbkUaEHA5nrasKJ8vPTEbBlNRhSZvVh2umbpTAcBnIWnR++UksV2ikSrBLGfTN2+SEURT0ZxzTLOLeKjo1s6wln0ulI0x8+nbL6VR2RJcU+SRnNp4Rzbs0rRag0x7LoKGfJh4zEZeqgvY+5A9ZhZxbNJjdmk/hTfNEIIIeRwoTgmhBDysZxeD/XFJSIAvE8NuWzboBU0jaDrwv5ZZEmsyw3zbq0DshZC2OqH0zY18Zmd2FK8ucKuTA25gFS3K/tEZxKkxc+kaLrVq/1FIUT3dZ2OV4GTcm19kZyOQ3arw1GF0JdQk43yZ5rPpwp0aV1SjK6ye5T0bO25idoYLckC2tZQHBvmHMcXDDEB4FwWzE5zHbXVHNcVcGq9w4erHjdu51FftlZCCCHkWYd/nBFCCPnUBKHoU3dqIERr20pRO0UXreMgsoLgs9FQTR0iz5XmWK8I0DSKqqxXLoSp7WNi2cR02l6K0bQtOqDm+AJQF8Y/WWQveI4AACAASURBVLfn0iEuHeaeGC3267nF2c7txabT+Clzt5FdcXO7kbbl+cLheZVR8CBce85zeb3COYZYjfC+Z2Jr2t/ErHDvRULNcFvrPuc83KvNslYFTq37OLc4O8e18z2RTwghhDyrUBwTQgj51KyOPeA9Rm0Wsy+eWuKlM6FjcdeF/TSq1eHAYTIOEdumQjEXN0eH60qjqxyPLWtlTSxKrgM2sa0a5vtqIfh6cWpk1zeJxSQe7dy+iD6Xx5nADvtBcqQ71S9bnTKyoAf6cWm7tv3WqV2nENtRzJZdvVOEWrKTa8cpipro4tf9KHsRT9/nhLti1JOIoK5d/96KZ92rNwd63cwH9ePnZRNCCCHPGhTHhBBCPjWrY48/97MzrM1qtE0oOB21wKgNkVwfnWMR4O7dh9hYbXF6awQgiLLKhbhu6f7WlcJVksc3RSVpI4dsP6uZTXW9wD4nWJLwM4fXGkqV839LEZjc2sJ5NYe1516j3/gq1y33kRgnz4290HNwc4fqLE4F4YWB2P0VMXKxc5ZCO+5jNccuuu5pf5jDXFzT7s3lWcW2bTSo9nUHj3H3fd22RAS1y8//wnaHE6sUx4QQQp59WHNMCCHkM7G9OcT25rC3LdSoup44Ho8brA1abKy2ALI4dk6T++s7QVMr6kpS52OnWVSmcVGFQ2zHBiHaj19bvbLFjl3qOC09B9cc2lI4miCF+NARuherDjuVjbksKt1zf6VwnQvxnNxoQS8undYdf4b9a5P8AsA6WJv7qwp0iC8A9q3Faa7ndqrJSU5zjSW/IGhbB1n051uLhvh7yWRU4eGjRW/dhBBCyFGA4pgQQsgXhghQVdKLVb/2wgZeOTfrNdqqKkFV1Np2AJpKUDnNna41u8TDQXCnLVqsKqnWWQsRaEK1dI5zZ+Z+d+fc2bp0kGPU2c5VOMcSb9BqmpNzDGT3N7nD+8csxZrnYsRSqIPOItXbz1XgXBDy4f6k91IA4rMwR75upRqbcdm9eVhtcl0p2kbRVB6VQ+8Z2L0Naoc0Rys+V3PdS77+lQ1cv/koJQYIIYSQowLFMSGEkC8MFxt0la5i3SjGw/zHjZMw81g0O8cCpI7IpbA2gTZqq3S+VDNbdqtG4fgiz0i2OHEZqy5dYEmOsfQFrsWcC2HdE8alU126zkBP/KYO2OgLYzV3O7q6lRMsJL8MEOS5ykB8XhalFrsfCQ3GnMB3gKsElT3b4v4UJo4d2jp0Cw/x9cKlVqCuFaoOD/eW6Vk7yY23jLrSA4kBQggh5ChAcUwIIeQLYzap8fJzM5w9OQYACHwvKgwgzcW1ulqjqhRNrVh2OZJtNbWDgYljn44zbWwji2x/wJxkE5LaE73WMKvXVboUzMi1urlGGckh7jX00v2uc1kTXdRKI4tiWPduze6yc4JFV5zPGm3ZNkTBHJ9fcspNTEt4MeFiV+nkmsf4d10H57hyQOU8qjhzWmNXMSceJ7cmuHX9LlanTXquX33lBL76AuuJCSGEHA8ojgkhhHyhfOnCSvq1ObdlXapToA5DgrMrKUg1x8toHUt0Qesomm2bxHrics5ucDmRRHh2acMYoniJJHady+uDOdTWddqcXjtGis7VUv4+/89uQpL4tSi09K6RhbXP0WyLX3c+d5u265pYLwSvCX8RQF1wkedddKBtdJW507H7d10JmjrcdFVl59ipoIvPa3XW4mdfO9v7LNdXB1idLj/bF4EQQgh5xqA4JoQQ8mMjjSE64ByHrtSpWzWAplI0lWK59PlYSF8cIzvOKZItuS431+naqCJkcVw4rd7n67pCvJd1wxqbXZm7KqaIbT+Yk40seoF8nNUjo2jahehGd+Zym1gXYBlizKaOe9HodI28fzqf5Ih3HWcVp1FOsa7ZngEQhHcTG5+phkh2HleVeen0MtV/E0IIIccBjnIihBDyY2PYAtOh7znH06HHZBjGQZn7KwDqGmiaso7YQzQ0+DJxVzlzfyUJYSCLWC3EscWLq0JEJ9ErxTYUQjS5yCa08xxh5xTVvpplTTXF2SEuY9pqXbIRa4yLMVC2RhfrmgUIs5+BVNucXgYU63Ti4YrzWz21SHg+aSyVOccOPXF8YXuJE2tI9wb0XXejrYFB85k/ekIIIeSZg+KYEELIj43ZyOPCdtfb5hS4sO0xaLXX7KmpNcStI6pA13Vo6uwcj9oglq1eFwDggSpGhPe7ySKhlhnou85mkybnuBiBZJ2urfFVWreTFG8OgtlHV3f/POKgkvN+SPuFa2Z3GmKdt7Vfx+z6Tb96zbwUxTzkLGqdhPh0EvuIsXKXxzMBwHgAbM4kPRerX95a6X9OhBBCyHGDsWpCCCFPHJUsaI2m0iTYgCDuus7HLtZh+7DxGNQmXsOxHsCgdWia3MxLxcO5eJ1SMGs/hmwi1VYhIkW3ZzlwbF101y7jy+W8YuvwLMV+NhfZnGaVIGaB7P4CwZ0OglqKa5iw9gBCHNq5fWtAcIiroit3cKX7bnx6/prdeFXgtedYV0wIIYRQHBNCCHniWDTaROGgCcKvjP+KAL7rUFeaROqg8Rg2gmWXI8HeA4O2Qls7LJddPL+5xEDlimZeUoxmsrVI4bQCUXxGcan52MqFhmFld+oUjy5rf0uHt3SOyzri6Gy76FRbrDrFuqPAxTIKau2f14mgjJfn64WflfXPda146fz0wPOvq305akIIIeSYQ3FMCCHkiTMd1zixMcR0XAMAXjjZwQO4eFGwuTYAEITgsluidTkCPGxCHWxVZfc3OMcV2kZTHXISkZqj2z2nF3lbWbObBa+HQHpzmFUlXbc3DzmK/LrSoiN2XgdMCKfGXlnMhn1y1Nup9CLeqZs1chzbaeEQSzhJ5wGnPrwMKNxxEeA7f/IcLpzoR6Y1RrAJIYQQkqE4JoQQ8sRpG4dv/eRm+r05nb/4c2dynW3cFkY85Qjw8yc7vP1OruH1HhgMHAa15u7QUWi6onGXCWHr9By2xWZZSRwLnPpUX1wVNcd1ta+5V3KNbVSSwkY2Jdc41iE30f3uNf0qao6BXBOdmnOJpDnRda1YmzlMRnU81gehHQV21wFVFNGuqF92j+lCDQBb6wMMGvc5PkFCCCHk6EFxTAgh5KmhbBwlArzywjoGegeTUf7jajwIkeCymVdbO7Sty422okCVQhx7Dwzq0IU51RwjN+Aqj3PRYS4bfNXOaqSz6NUwkBiqmiPUkkWqHds2LjrLeZ+y5tj2c04wbLP4hgCjYYUXzq3gT/3UJL8kEOtiHWqsl53Fs21MlsRzH+xCDQBnt8fA9qf9dAghhJCjDcUxIYSQpxIRYDSs8fLplV4UWjXO6C1ErwpirDruU0SZTUTvzYG2Dk21SjFsEWYTvVYHLJBUrwyErteVw4FrlBFlpz64y8VYKQAYNC523PaxmZhPcWprStb5INyHTT8CXleKr39lC+tFN+k8PzocOxl66E1gMgTKQRTlDGdCCCGEfDwUx4QQQp5KyuZUJaHRVh5P5H2IGa/PGgBdOtY5QF2uQ14sBYNG0DY5apydYmB1Gob6Wt2uR9HpGh61kxSNLo8VZJe4rYG6AuCz6BUJTbHq2kFk0RvJZDXKAPBgT9BWHm0TrphHQz3uGYQTW6x62ISO00M3w+tv30rXrtRTHBNCCCGfEIpjQgghTyVtFcYx1ftKY1VzEy0A8BAogJ/7+jba0N8rd2uWfqy4qT3qwv0VAHvzBVamLc6fGgOIc3+r8FNrBOYhqGtrBFZEsKP7O2jDIpvKozEXuYhkOxfmDZtbrL4Qx3Ets6HH3QchVr1c5PsIzbh87xmIHrw3AHjh7BQvnM2dqc9sdgeeHyGEEEIeD8UxIYSQp5JhC3zl3MH5uxZFLmuJH1dbK+Jjt+rwg41ZF+cN97tJT0YNZN7g/OlJOL/4MA4JuRa560K8uVKrGg64OFvYHOamBuraGm3FdSC7x1L83jpT21rWpx5rkyXeekvQlbHvx7i/sdS5V6P9OCaDj/0xIYQQQgr0R+9CCCGEPD2YW5ti1TgYvw4/8kF8xh+cXPN46XR3QFCe2BzjF37mDMbD8L7YnGlIHgPV+SCCw/awzeqVQxfrsGPtgNZZvXP+I9Y6WOdRUMV4pwKrNbY1C6JzvE8Dv3puiXMnPtPjI4QQQshHQHFMCCHkmcI5iZ2ZU6461Sf38Og15AJsvFP+vY1isvh02CfODC4aXnUecOJRF/OVLdZcVZoacokATZNrnoHcMEwANLWLDbkAVf9Y51fS/8tdq/eLY6cH4+aEEEII+XwwVk0IIeSZoq4U33xtE2srLQDg7GaHndt9ESziAfieCwtEV7a3Y5x1vM91dgKI5Eh214U633JusMDDw6OuNDXkAoCzGx7rE5+u4+N6zmyPcf/end64qP3OcVhjFvohVv34cUzffG0Tdc133IQQQsgXBcUxIYSQZ44TG8P069nIYzba17AKQBDHuVs1EGLQ1ijL9tvvOjsFXCUxvh22dT66tZVE4R2O88sOdaVp/jAAbK6EkUqml805fvX5VWzOZr0ZyY91jkV6291jnGMA2N4cHtxICCGEkM8MxTEhhJAjx6gFXj4/xvroIV44N+n9rHRrHxfHDqOczLHNzrHGrtO9MVCxIdew7Wecnct1yB7mAOfu1xqPDXXJfWEf1iBpv8fFqgkhhBDyxUNxTAgh5MihCrx0Gnjp9MaBn+0Xx0EE+wP7TEZ530EDzJdBCHdddo43V4fYmq3h5edGB47vz2F+TN0wgjO9Nmses8bwz8oBp9e7A844IYQQQr54KI4JIYQcK1I3auRu0NgnXL98vsPFi9nBPbvZ4eEe8N5FpFFO1ln67IkJVPvitXJ51BR8jEbvW4erBF99dRvfeLVfN/ydb53CssvnW59SGBNCCCFPAopjQgghx4qf/xOnet2l5THCtXJ999cpMB4Af/KrW1gsunAsHu8IA6GDtdUrN3XsYr3vT9yTqx2e365Q79s+aNmGmhBCCDkMKI4JIYQcK2yeMQDUzkMVBwSqNcXaL3zXY4fssM/jZxADQRybc7w28WiqJcaD/j5bK3SECSGEkKcJimNCCCHHlmELvHp22Zt9DIRY9GRUYzKqP/JYq1d+XK+supJeo6/9wpiQo4jvPPytB+juPAIeLeA9XwARQg4SpzY8la0mnwpxLCK/BuDXAODcuXOHvBpCCCHHif3CGAh/cH/7Wyc/9rjKAdOhx7A9KABefX4VDWcQk2OCfzDH8tJNLN69ju7mA/j7e6ETHSGE7GfeQVaGqOCeCh26n6diUd77Xwfw6wDw9a9/nf81JYQQ8tSjAlw40T32Zyc5g5gcA/yyw/LiDSy+/yGWV+9AagdZGUI3RpDHvXUihBx7/MM5uusPDnsZH8lTIY4JIYQQQsizQ3dvD/M/eB+Lt3YhCrizq5CazeQIIc82FMeEEEIIIeQT0+3ew97vXMLy0g3o9hQ6aX/0QYQQ8gxAcUwIIYQQQj4Ryw9uY/4P38Ny5x7c+TW6xYSQIwXFMSGEEEII+ZEsP7iNvf/vIrobD+DOr7KumBBy5KA4JoQQQgghH8ty5y72/kEhjPWpnMJCCCGfC77yI4QQQgghH0l3+yHm//A9dLv3KIwJIUcaimNCCCGEEPJY/MM55v/oEpaXb8OdW6MwJoQcaSiOCSGEEELIAXznsfcHV7B4exfu7Aqk4l8bCSFHG/5XjhBCCCGEHGD51jUs3rgK3RxDWrapIYQcfSiOCSGEEEJIj+W1u5h/7wNIrdDZ4LCXQwghTwSKY0IIIYQQkvAP55j/wWV0Nx9AT0wPezmEEPLEoDgmhBBCCCEAAO895t+/iuXFG3BnVtiAixByrKA4JoQQQgghAIDu8i0s3rwKXRuyzpgQcuygOCaEEEIIIfAP9jD/ow/gHy6ga6PDXg4hhDxxKI4JIYQQQgjmr1/D8v1bcKdnh70UQgg5FCiOCSGEEEKOOcsrt7H4wTXo6hBSu8NeDiGEHAoUx4QQQgghxxi/t8D8+x/A39uDrA0PezmEEHJoUBwTQgghhBxjFj/cRffeTbhTU4iwOzUh5PhCcUwIIYQQckzpbj7A4o2rwLCGDOrDXg4hhBwqFMeEEEIIIccQ33nMv/8hut170K3JYS+HEEIOHYpjQgghhJBjSHf5FpbvXoduTSDKODUhhFAcE0IIIYQcM0ITrg/h95bQ2eCwl0MIIU8FFMeEEEIIIceMxdu7WL5/E+7k9LCXQgghTw0Ux4QQQgghx4ju9kMsXr8KGdWQtjrs5RBCyFMDxTEhhBBCyDHBe4/5G1fR7d6HbrIJFyGElFAcE0IIIYQcE7oP72D59nXoxgji+NdAQggp4X8VCSGEEEKOAX7RYfH6Vfh7jyArbMJFCCH7oTgmhBBCCDkGLN+7gcWlG3AnpxDh6CZCCNkPxTEhhBBCyBHHP5hj8cZVCAQyag57OYQQ8lRCcUwIIYQQcsSZv72D5Qe3oRzdRAghHwnFMSGEEELIEaa79QDLN69Bxg2kdoe9HEIIeWqhOCaEEEIIOaKE0U3X0F1/wNFNhBDyI6A4JoQQQgg5onQf3sHynd0wuknZhIsQQj4OimNCCCGEkCNIGt10fw+6Ojzs5RBCyFMPxTEhhBBCyBGkHN1ECCHkR0NxTAghhBByxEijm0QgQ45uIoSQTwLFMSGEEELIEWP+1jUsr9yGbtM1JoSQTwrFMSGEEELIEaK7cR/LH+xApi1HNxFCyKeA4pgQQggh5IjgO4/561fR3bgP3Rgf9nIIIeSZguKYEEIIIeSI0F2+heW716FbE45uIoSQTwnFMSGEEELIEcDvLTB//Sr8oyV0Njjs5RBCyDMHxTEhhBBCyBFg8cNddO/fhDvFJlyEEPJZoDgmhBBCCHnG6W49wOKNq8CwgrTVYS+HEEKeSSiOCSGEEEKeYXznMf/jD9Ht3oNu0TUmhJDPCsUxIYQQQsgzzPL9m2zCRQghXwAUx4QQQgghzyj+4RyL738Iv7dgEy5CCPmcUBwTQgghhDyjzN+8huXlW3CnVg57KYQQ8sxDcUwIIYQQ8gyyvHYXizeuQqcDSOMOezmEEPLMQ3FMCCGEEPKM4edLLL53Bf7uHmRjdNjLIYSQIwHFMSGEEELIM8b8B9ewvHgD7tQUImzCRQghXwQUx4QQQgghzxDLnbtYvn4VGNWQQX3YyyGEkCMDxTEhhBBCyDNCiFN/gO7mA+jm5LCXQwghRwqKY0IIIYSQZ4T56x9i8c4u3OkZZxoTQsgXDMUxIYQQQsgzwPLKbSxevwqZtoxTE0LIjwGKY0IIIYSQp5zu/h7mf3gZ/t4edGN82MshhJAjCcUxIYQQQshTjF92mP/hFSzfvwV3ZoXdqQkh5McExTEhhBBCyFPM4q0dLN68Ct2aQGp32MshhJAjC8UxIYQQQshTyvKD21j80QeQxkGn7WEvhxBCjjQUx4QQQgghTyHdnYeY/9776G4/hJ6YHvZyCCHkyENxTAghhBDylOEfLTD/3fexvHwL7uwq64wJIeQJQHFMCCGEEPIU4Zcd9v7gMhY/3AkNuCr+dY0QQp4ET/S/tiLyioj8hojcEJF7IvLbIvJnnuQaCCGEEEKeVrz3mP/xB1h8/0PoxpjzjAkh5AnyxMSxiLwI4LsAfgbAXwfwVwBMAPymiPzZJ7UOQgghhJCnlcWb17D4wyvQcQOdDQ57OYQQcqyonuC1/hqAVQDf8N7/LgCIyP8A4HsA/oaIvOq9909wPYQQQgghTw2Lt3Yw/733AafQjfFhL4cQQo4dn8g5FpG/LCJeRH5BRP5DEXlXRB6IyP8jIj8d9/l5Efm/Ylz6ioj81eL4MYA/D+D/MGEMAN77uwD+WwBfAvAnvtA7I4QQQgh5Rli8vYu9370EdB5um52pCSHkMPi0ser/DMAvAfgvAPxHAF4A8L+KyC8B+DsAfhvAvwvg+wD+YxH5l+JxXwXQAvj7jznn/x3/SXFMCCGEkGPH4q0d7P3Oe8B8CXdqdtjLIYSQY8unjVU7AD/tvd8DABH5I/z/7d17sCR1dcDx73HZB3AVhI2PXcQNL6E0vAIri38ISmmUoGKBBgwGeVgqYDBWqpQIsQKYKhOEkiRWIeCKIIWUEbJVMQRiFiGEx4I8YnBFYBF2BQLyZpfdhZM/ukd6Z2funbnTM3Pvne+nqqtnfnP63N/d2nOnz3RPN1wNXAksycwV5fhFwEPAScClwIJy+9UtcjbGFnY5F0mSpGkrM9n4y8fZcPea4ojxgm2GPSVJGmndHjn+VqMxLt1Qrm9pNMYAZcytwK7l0Fbl+qUWOdc1xUiSJM1oufEVNtzzG9bf8QgEHjGWpCmg2yPHD1SfZOZT5U3pH2wR+xSwffn4xXI9t0XcvGpMvpKsf/LZLqclSZI0PeT6jWz4+aNsXPUksfUcXjO2JS+/+OLEG0rSNJfrXoYNG4Y9jba6bY5f7nK8YU25bnXqdGPsExHxPoD5ixa0CJMkSZIkTXdzmTXIuyZ1bFCTuofilOolLV47oFx/LDNvecdOu+UlnztjQNOSJEkavNhmHrHFrGFPQ5IGbost57LnUYeumzhy8AbSHGfm8xGxDPhoROyVmXcBRMQYcAJwH8V3lJmz7Ri7fubwQUxLkiRJkjRgCTnsObQyyMPZXwbeS3Hrp3OBZ4ETKU6rPjQzp+Q/kCRJkiRp5htYc5yZv4qId1HcK/lLwBzgDuCPMvO6Qc1DkiRJkqRmMdUO2O677755/U9vmDhQkiRJkjTtvO61Y7dn5n7Dnkezbu9zLEmSJEnSjGNzLEmSJEkaeTbHkiRJkqSRZ3MsSZIkSRp5NseSJEmSpJFncyxJkiRJGnk2x5IkSZKkkWdzLEmSJEkaeTbHkiRJkqSRZ3MsSZIkSRp5PTfHETEnIq6MiPsjIiPi2AniT4uI5yvLC+V2H+11LpIkSZIkTUZdR45vAo4D7p0oMDO/lpljjQX4JPAM8OOa5iJJkiRJUlc6ao4j4i0R8UREfKh8PisifhoR38zM9Zl5bmZeD6yfxByOBy7PzLWT2FaSJEmSpJ5t0UlQZj4cEccDF0XE3sCngTHgL3v54RGxA/B+YHEveSRJkiRJ6kVHzTFAZl4dEYcA1wA7AIsz86Uef/6ngLsz8/Ye80iSJEmSNGndfuf4H4G3A1dl5i97+cERERTN8UW95JEkSZIkqVcdN8cRMRtYClwKfCQi3t3jz34v8OYynyRJkiRJQ9PNkeOzy/WngFOByyJie4CImBsR84AAZkfEvIiYNUG+44F/zsynu520JEmSJEl16vRq1e8HTgT+JDM3ZuZS4Hrg4jJkJbAW2BO4oHx8TLntjuX9jHes5NsOOBy4sKbfQ5IkSZKkSev0atXXAK9vGvtE5fGicbb9NcWVratjvwXmdTNRSZIkSZL6pdsLckmSJEmSNOPYHEuSJEmSRp7NsSRJkiRp5EVmDnsOm4iI5ygu8CVpsOYDTwx7EtIIsvak4bH+pOF4W2a+dtiTaNbRBbkGbGVm7jfsSUijJiJWWHvS4Fl70vBYf9JwRMSKYc+hFU+rliRJkiSNPJtjSZIkSdLIm4rN8QXDnoA0oqw9aTisPWl4rD9pOKZk7U25C3JJkiRJkjRoU/HIsSRJkiRJA2VzLEmSJEkaeX1vjiPiNRHxhYj4RUSsi4iHI+KciNh6ENtLM0lEZJvl+Raxb4uIqyLiqYh4ISJuiIj3tMm7TUScHxGryzr7eUR8NiKii7n1nEMatoj4ckRcGREPlLW1aoL4d0bEdRHxXEQ8GxH/FhF7t4ldEBGXRMT/RcTaiFgREUe2iZ0bEX8TEQ9GxEsRcX9EfCUiZnfxu/ScQxqUbmovIpaO8354RIv4rmohIj4ZET8r6/SxiLgwIn6vy9+n5xzSIETEbmV93Fy+Pz0XEXdGxF+16rf6tX9ZR89XR45B3Of4XODzwI+Ac4A9yuf7RMQhmflKn7eXZpob2PwiBhuqTyJiZ+AmYCPwdeAZ4ETgmoj4QGZeV4mdA1wL7AOcD9wLfAD4J+CNwFcnmlAdOaQp4mvAb4E7gG3HC4yIA4DlwGrgjHL4ZOCGiDgwM++pxG4H3Ai8AfgG8AhwNPCDiDguM7/TlP4K4MPAxcB/A0uAM4FdgGM7/F3qyCENSse1V3FMi7FbW4x1XAsR8QWKGr0e+HNgB+AvgCURsTgzX5hoUnXkkAboOOAk4F+Ayyj2KQ8GzgI+FhEHZOZa6Pv+ZR09X+85MrNvC/B24BXgh03jpwAJHN3P7V1cZtpS/r9f2kHcD4CXgb0rY2PAQ8BKyovxleOfK/Oe0pTjh8B64K0d/Lyec7i4TIUF2Kny+H+AVePE3go8CyysjC0sx/69KfbrZY0cVhmbVeZ4EhirjH+wjD2nKcc55fiBHfwePedwcRnk0mXtLS12YTvK23EtAPOBF8q6nFUZP6yMPa2Dn9dzDheXQS7AfsA2LcbPKv/PnlwZ68v+JTX0fHXkyMy+n1Z9FBDAeU3j3wZeBP60z9tLM1JEzImIsTavbQ18CFiemXc2xjPzeeBCYDdg/8omR1PU07ebUp0HzAY+3sGU6sghDV1mPtBJXETsQlFHV2bm6sr2q4ErgUMi4k2VTY4G7s/MZZXYlyk+Td+OYge+Ggubv/c1nnfy3ldHDmlgOq29qii8LiLG25/tphY+AmwFnF/WZ2Nuy4AH6Kxu6sghDUxmrsjMZ1q8dEW5fgf0ff+yjp6vlr6x383x/hQd/CanuGTmOuBONv0H7Mf20kx0BEWRPxcRj5ff5dim8vqewFyKU8ea3Vyu94fiuxnAvsDPyrqqupXik7Zx66yOHNI01Pg/3a7OAvhDgIh4M8UR5ZvbxFbzNR6vzsyHq4Hl8zV0Vk915JCmumfKZW1EXBsR72wR000tTFTXu7f7YLrmHNJUsEO5fqxc93P/so6er5a+sd/N8QLgicx8qcVrq4H5BYrVHQAABapJREFU5fno/dpemmlupfiOxhHAnwE/4dXvODbebBeU69Wbbf3q2MJy/Xpgy1axZd09UYltp44c0nTTTZ11E9uIbxXbiO+knurIIU1Vj1J8t/CzwOEU31fej+K98JCm2G5qYaJajUpMO3XkkIYqImYBp1N8t/j75XA/9y/r6Plq6Rv7fUGurYBWEwRYV4lZ36ftpRklM5s/Fb8kIu4Gzqa46MfZFDUBrWunWjdMENuI36rNaw115JCmm7rqrDm28bjXeqojhzQlZeaXmoauiojvUxwd+hawa+W1bmqh21ptpY4c0rCdR3HhutMyc2U51s/9yzp6vlr6xn4fOX6R4vB7K/MqMf3aXhoFf0dR6IeWzxs10ap2mutmvNhG/EQ1VkcOabqpq85avZdN9N7XST3VkUOaNjLzPoqLBe0SEbtVXuqmFrqt1VbqyCENTUScSXFW4gWZ+beVl/q5f1lHz1dL39jv5ngNxSHsVhNdSHHoe7zuvdftpRkvMzdQ1ko5tKZctzptsjHWOM3lKWBtq9iy7ubT/nS0hjpySNNNN3XWTWwjvt1pzwvprJ7qyCFNN6vK9fzKWDe1MFGtZiWmnTpySEMREV8FvgJ8B/hM08v93L+so+erpW/sd3N8W/kzFlcHI2IesDewos/bSzNeWQ878OoFE+6hOK1kSYvwA8r1CoAs7vd2B8X935r/mCym+G7UuHVWRw5pGrqtXLerswRuB8jM31DsBBzQJhY2rZHbgIUR8ZZqYPl8AZ3VUx05pOmmcTr1Y5WxbmphorpeWV6Zdzx15JAGrmyM/xr4LnBClvdBqujn/mUdPV8tfWO/m+MrKHYQTm0aP5HinO/LGgMRsXNE7D7Z7aWZLiK2b/PSmRTXD1gGv7uk/jLgoIjYq7L9GHACcB+bXsnvcop6+nRT3lMpLsTQuJQ/ETE7InaPiB2bYjvOIc0EmfkrijfaIyPidxfXKR8fCfwkMx+tbHI5sHNEHFaJnUVx/8WngX9tioXN3/sazzd57ytrcuem2K5ySNNFRGxd7uw2j+9DUXv3Zub9lZe6qYWrKY52nVzWZyP3YcBObF57O5b1N3uyOaSpICLOoGiMvwccVza3m+jn/iVd9nz97Btj8w8F6hUR51Oct/4jijf/PYDPA/8FvKfxjx8RqyhuBh2T2V6a6SLiXIpP5v4T+DXFTdc/CBwM3AIcnJlry9hdKP5AbaC4ouezFH8c/gA4NDOvqeSdA9wE7AV8E7i3zHs4cFZmnl6JXQQ8CFyfmQdNJoc0lUXEMcBby6enAHOAc8rnD2Xm9yqxB1LU4yMU9ytubPNG4F2ZeVcldnuKI8nbA9+gOJJ8FHAQxSf0FzXNYxnwx8BFFLfNWAIcD1yamcc0xWY5t0WTzSENW6e1FxF7Az8GrqLYGX+B4r3nOIrbuLwvM29syt1NPX0R+HtgOcXO/ULgi8DDwP7Vo74RsRx4N/D7mblqMjmkYYuIk4B/oNi3PJ2ijqoey8xry9i+7F+W8R33fH3tGzOzrwswi+IPwkqKQ/GrKXYMxpriVhXTmdz2Li4zfQE+DFxT1sA6ih2CO4HTgHkt4veg+AT7aYoLENwIHNIm97YUfxjXlHX2v+Ufl2iKW0TxqdzyyeZwcZnKC8XObLZZlreIXwL8B/A88FxZo/u2yb2Q4lP5J8oavgP4eJvYecBZ5XvjS8ADFDsts1vEJrCqlxwuLsNeOq094E1lHf2CYsd8A8VO/XeB3dvk7qoWgGOBu8o6fRy4GHjDOHNeNNkcLi7DXoCl49TeZu999GH/soztuOejj31j348cS5IkSZI01fX7O8eSJEmSJE15NseSJEmSpJFncyxJkiRJGnk2x5IkSZKkkWdzLEmSJEkaeTbHkiRJkqSRZ3MsSZIkSRp5NseSJEmSpJFncyxJkiRJGnk2x5IkSZKkkff/DjQB3maL/aAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[73].draw(plot_range=[0, 2000], style=style, channels=[d0, MeasureChannel(0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "qobj = assemble(schedules, backend, meas_level=1, \n",
    "                meas_return=MeasReturnType.AVERAGE,\n",
    "                shots=1024)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'5e8af8695b8bdd00181fb5c7'"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job = backend.run(qobj)\n",
    "job.job_id()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.DONE: 'job has successfully run'>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def amp_func(x, a, b, c):\n",
    "    \"\"\"Function used to fit the amplitude scan.\"\"\"\n",
    "    return a*np.cos(np.pi*x/b)+c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "signal = np.real(np.array(get_job_data(job, True, 0, 1e-15)))\n",
    "\n",
    "popt, pcov = curve_fit(amp_func, xp12_scales, signal, [0.8, 2.0, 0.5])\n",
    "xp12_scale = abs(popt[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IIyIH4BRijZVqglgNXCoiN3vODHgftfE4o2sFbj5PIgg929OiuFJ/jBvSagY8H/Kw8pT8pbgPjZ+zC7jnOwfXwn1LRA72ymaIyEnAfwiIROG1lEO/j+tE5DFxM/vx6sgWF8bmUZyXXjyEPo4HAi+KWy5APC+1I3D2mpa4ScWPRJQNHe+A81Y7TESyvPJ9cT31kBv2/ZEXlu2hfQKXCqgpnhwdQpv3PwBkhJ+PRzlHYTSup3Kp1ygN501vf524cFNNcLbSrsBkHxttVaqbiNPYN6qJIBCW7xi2TwiLnA3eEuc2GEqvwHmcrQk7p8DjEeWiTd67P6LsL2xf9uAN3PwN34l7wB/Dym3AtUqKgdvD8sQy8a8NzusrVFcpkFXNfTox4v/ehLMDlEX8PzFPIsNF5i0NK7uR7RPy1uMm3wZNkPSdvBhRtwJbo1w/aALktueHc9hQnL3kF+8dCMl0pU+dNZ3UGQoDr949Xeg92w8j8p1O5WUyVoc9g8ei3Rdcj3plWNm1bJ8UOBsXUdhXPq/8iIj/f23E+6vAj3H+TrOAlyLeofUR79VmAia74uwn4dcvC/ufQttD1Tz/mCdnRvzGoi0xcHSEDEFbXNf2uc5xXj2PBqSHT0AO/cbUe9cOjeUa1rNJEKr6DtttBtdHpK1T1ZNxniwv4dxsW+A+KD/i7B9/wIX4jvV6l+OGy6bhfkShWcp/wcVLCwzgp6qPA3/CTeIqx41V5xEWfC9GGVazvcUD8B/18QSKKPM6zj36Vtz92oxrUa4GPsMpyX00jthR6iYX7oebHLsCdy9W4cKWDADei7WuZKGqf8HNcP8G92Fci5PrWFW9N4HX+R43XDQJd0+74p5t94h8/8FFt/jQkyUT9zyGquqfqrnGDNzwyVO4dzkLNxv9HpxXoJ9reXj5G3E9hSdwBuZM3O9hCa4HchXBdp+gOstU9fc4Z5HXwuQqwwWQfAz3XvkOU6nqnbhe0dO4aANbPbkW4uaU/FZV/+xXtr4jIs1xyx6sJGDIWV1P50RcL3AFbqRmMu6+xNQLDcW/MQwjwYjIRbj5HO+paqqdFAwjpVjPxjAMw0g6pmwMwzCMpGPKxjAMw0g6pmwMwzCMpGMOAj506NBB8/PzUy2GYRhGveLrr79eqaq+AWVTHvQtHcnPz2fKlCnVZzQMwzC2ISKBkQRsGM0wDMNIOqZsDMMwjKRjysYwDMNIOqZsDMMwjKRjysYwDMNIOqZsDKOBUVRURH5+PhkZGeTn51NUVJRqkQzDlI1hNCSKiooYNmwYJSUlqColJSUMHTqUDh06bFM+l156qSkjo84xZWMYaUwsvZTwPEOGDGHDhg2V0svKyigtLeWfxzblr32X8sgjj1RSRsOGDTOFYyQdUzaGkab49VIiFUNknvLywGWM2LtLJnt3qbow64YNGygsLEzK/2AYISxcjQ8DBgxQiyBgpJr8/HxKSqpOyG7fvj0tW7Zk/vz5ZGRkRFUw4XwwJAeAI8ZtqJImIiz4ZT3ddsiundBGo0ZEvlbVAX5pFq7GMNKU+fPn+54vLS2ltLQUIGZFUx0ZrTow8Pb3yW+fw+G7dGLQLh05aKf2NM+q2hMyjJpgw2iGkabk5ubWuGxGZiYiQvv27WnatGnUvNnZOYy48RZGnrQbPTu0YMJX8xk69iv2vulthr/wLdMWrDIPN6P2qKptEVv//v3VMOqC8ePHa15enoqI5uXl6fjx4yul5eTkKBDXlpOTU6WevLw8/WBIjn7xp3Z6ySWXBF5TVXXjlq364Zzles1/v9Pdrn9L2584XDOzmkW9hmGoqgJTNOC7mvIPu5OP04EHgE+ANd4LPT4B9Z4X9gO5KNZypmyMusBPmQQpChHRDl26aZOc1r4KJjMzM1B5bOOp490WB2s2btH2nbv5XjMvL68W/73REImmbNLCQUBEpgF7AeuAhUBfoEhVz6tFnT2A6UAm0BL4o6o+EUtZcxAw6oIgB4C8vDyKi4u3Hb8zcxm3vDGTktINtF38P2b9+242b9q4LT0nJ4cxY8ZQUFAQ/YJjT3D7oW/EJWdGRgZ+3wkRoaKiIq66jIZNNAeBdLHZXAn0AVoDl9S2MhERYCxQCjxa2/oMI1GE2z78FA1sdwxYunoTf3p2Cn98ZgrNm2TyxPkD+GbcjTz5xOPk5eUhIuTl5cWmaGpBkO0oo1UHLnz6K5au3pS0axsNh7TwRlPVD0J/Oz1Ray4HjgQO9/aGkXJCc2IiJ11G0qNHD57+7GfufvsHtlZUcPVxfbnwkJ5kZbq2YUFBQVKVSySjRo2qIndOTg7nXH4Nn85bybH3fsQNJ+3Oaft2S9Tv12iApEvPJmGIyK7A7cBoVf041fIYRojCwsJqFU12dg47Hj2Uka/NZN+8trz910FcPKjXNkWTDPw8zcLPFRYWMmTIkEq9qSFDhvDus6P5YdQJzHtgCBePvI+Lxk1h2Rrr5RgBBBlzUrXheiM1chDA9dSmAHOAbO/cSMxBwEgDRCTQg0xEtPOO3bXD/idqkzadVEQ0Nzc3sR5fPg4Cfk4KWVlZ2rRp00DHBb8yTZtla5dT/qb73PS2fvrjisTJbNQriOIg0NB6NjcA+wB/UNWN1WUOR0SGicgUEZmyYsWK5EhnNGqCbB+5ubncPXEW5f3P4pep77B19XJUlfnz5yc9bplfb6usrIwtW7ZUOhce0savzJbNG8mYMoH2LZoy+Mn/8ehH83ydCozGS9zKRkRaiEgfETlYRPYRkW7JECxeROQA4FrgHlX9It7yqjpGVQeo6oCOHTsmXkCj0TNq1ChycnIqncvOyaHHsRdw//tz2fLFc1SUba6Unuy4ZUFRCqLlDSqzZNFCXv7zQI7r15Xb35rNpUXfsG7z1oTIadR/YlI2ItJLREaJyGRgFTALNydmCjBfRJaLyL9E5EwRqXOnA++azwA/ANfX9fUNI4hoto9u3XvQ6/dXsrTjftxx2h6sLV3qW0c8CiFe4olSEMobrYfWolkTHjx3H649vi+Tvl/K7x/6jEWr4hpkMBoqQeNrXhe4PzAR2ApUAJuBb4A3gfHAi8CHwBIvvRxYClwDNItWd5RrHk6cNhtgB2KfYX1fdfWZzcZIBNEmbX63YJUOuOUd7Tdi4jYbR15eXnInTybRZuMXUeDTH1dovxET9YBR7+rsJWsS8z8YaQ01iSCA6ylsxc1VeRg4DGgeJX8+8Cfgc0/xFAOHBeWPUk9NlE028ETA9o1X3yfe8VnV1WfKxkgEQcqjU9fu2ve6t/Tg297TOUu3f4Rj/YjXmIAIAn4hc6KF0Qkq48fMxat1v1ve0T1GTNTJP5cm5v8w0paaKpsluPkqcfdQgD2Bl4Dra1A2qrIBsnARBnrFWN9IzBvNSAHB3meiJ97/iS5bs7FKmVg/4jWiBuFqEsH80vV6xF0faJ/CN3XSjCV1fn2j7oimbALD1YhItsbp0VXTOkTkFOAU77AL8BvgJ1xvBGClql7l5c0HfgZKVDU/hrpHAiOwcDVGHRMUjianXWeWLV5Iy2Z1bN6sYbiaRPDL+i0Mfforpi9cxb1n7c3v9k4LvyIjwdQoXE1tFU2cdewNDPG233jndgo7d3ptZTGMRFPdZMh169ZVCe+f2bQZD/7zrrpXNCnmrZf/zdQ7z+Xn20/itEH7cNVtD6ZaJKOuCeryxLrhhrX2AXapbV3pstkwmlEdsRrWs7KytFWbtgqiOe266FNPP5M6oVM0jOZ3r6RJM/3bbQ/WuSxGciERkzo9t+YXRKRd2LlewPc4F+iZIvLfVLg+G0ZdE+tkyLKyMjZoE85/8ktKly5k6JDBdSlmygjv4Q0ZMqTKvdKtm7n3thuZOMPf3dtoeMQzqfMCoK+q/hJ27h6gN/AB8B3wO2Bo4sQzjPQknrkv5WtW8tjg/o1mieVQwNGSkhJUNXDp6q1rVnLZc9/wwZzldSyhkQriUTa7AV+FDkSkNXA88IKqHg3sD8zGlI3RCIhnMmSPHj0ajaKB2AKOgrsvu3RpxaXjv+HbBavqQDIjlcSjbDri3KFDHIQLfDkBQFXLgHeAXgmTzjDSiOqM/1lZWVXOZWfncNttt9almCknll5fTo67L2OH7keHVk254OmvKF65vg6kM1JFPMpmLdAm7HgQztj3adi5TUCrBMhlGGlF5NBQaWkpqkr79u23hd0fO3Ysdz3wKE3bdAJcOJrHH0/uwmbpSFCvLzMzs8qCb51aNWfc0P1R4PynJrNi7Wbfskb9Jx5l8yNwnIg0E5GmwJnAd6q6MixPHmADsEaDI8ghoGXLllRUVFBcXMzJp53JG+t7sctfn+GHpatZuGB+o1E01fX6cnJyGDdu3LZ7FX5fdurYkieHDGDF2s0MfXqyBe9soMSjbMbg5r78iAvE2RO39HI4/XHeaYbRoAgaGgqd31pewV+en8rcFet45Lz+7Ny58XTwY+n1Vbd09T65bXmoYB9mLVnLFc9PpbzClidoaMSsbFR1HG4FzBzccNqDwAOhdBE5mO2eaYbRoIgW6Rjgljdm8eGcFdz8u34M7N2hLkVLObH0+mLp4R3ZtzMjTtqN92Yv565Jc5IlrpEi4lrPRlWvVdUO3naFN4knxBSgLXBfQiU0jDTAby2anJwcRo0axbNfFPP058VceEhPzj0gdi+1hkJ1vb4g/CIwDD4wj3MPyOXRj+bx0tSFyRDXSBHxTOo8X0T2DEpX1S1AD+DcRAhmGOlEQUEBY8aM2bYWTWhoKP+A3zDytZkc2bcT1x6/a6rFTAnV9fr8iBx6KykpYdiwYTz33HPcePLuHNCzHf94cTpT5/+aLLGNOiaens3TbA+WGcTvqGrHMYwGQUFBAcXFxduGhg4/4VQue+4bdurQgvvP2YfMDEm1iCkhWq8vCL+ht9CqpFmZGTxyXn86t27Gn579mqWrNyVFbqNuiXtZ6GrIxLlDG0aDZlNZOZeM/5qt5cpjg/s3usCa4QT1+qLZaaobemvXoilPnL8f6zdv5eLxX7Nla0VSZDfqjkQrmz6A9XuNBs/IV7/nu4WruefMvdipY8tUi5NyInt91TkExDL0tkuXVtx9xl5MW7CKW9+clVB5jbonanNMRJ6KOHWKt55MJJlALnAoUPeLZRhGHTJh8nwmfLWASw/vxbG7d0m1OPWSUaNGMWzYsEpDaX5Db8ft0ZULD+nJk5/+TP+8tpy01451LaqRIKrr+/8h7G/FrTuzd0BeBf4HXFl7sQwjPflu4SpuePV7Dt25A8OP3SXV4tRbQj2fwsJC5s+fT25uLqNGjfLtEV19XF+mLVjF1S9+x65dW9O7k/Uk6yOBK3UCiEhe6E/cypn3AaN9spYDv6pqgwhuZCt1Gn6s2VTGifd/ytbyCl6//FDatWhafaF0IoUrddaWJas3csL9n9K+RVNeuWwgOU0br40snanRSp0AqlribcXAjcDLYefCt4UNRdEYjRe/eR8hVJVr/zudRas28sC5+9Q/RVMPCX8eB+21KyfmzGPuinUUvjSDaI1kIz2JJ4LAjar6cTKFMYxU4TfvY+jQoXTo0IGMjAw67diDCc8/x/8d04f+ee2qr9CIm3Dl0qFDBy644IJKz+OeG4YzkNm8NHURL01dlGpxjTgJ7IuKSMgtZJGqlocdV4uqxr6ylGGkAUEhV0pLSwFYuXQRmW8/RJuz9sFFZTISSUjZh55B6L6Hs2HDBj557n4OuGYC1788g31z25LfoUVdi2rUkECbjYhU4Iz+u6rqD2HH1aGqWq8HVM1m0zgoKiraZqCOdVgmLy+P4uLi5AqWLNLYZpOfn09JSUlMeUWEJq07ssfv/sSXT40kKzPRMziMmhLNZhNNKTyDUy6rI44No94T2ZKOlXiWgzZiJ577qqqUrV7O1OfuZHDnVky4829JlMxIFIHKRlX/EO3YMOozsS5dHEk8y0EbsZObmxtzzyaEbt3Mfx67i8+HDeXgRhZpuz5i/U+jURKtJS0itG3XDsms3BarLt6XUXP84qtlZWVtWxMniPI1K7nyhWms2rAl2SIatcSUjdFoCPd2ysjwf/Xz8vIoLy/n9Hsn0emEK9mxe4+Y430ZNccvvtrYsWNZuXIlFRUV5OXl+Zbr2q07peu2cMMrtmZjuomOtoIAACAASURBVBN1UmeVzCLtgAuA/XFr12T6ZFNVPSox4qUGcxBoeMRio8nJyWHMmDFk7XIYf//PdxQevyt/PGynOpQyyaSxg0B1+D2/0PP6pcv+3PPODzx47j6cuKeFs0klNXUQiKykL/Ah0BEXUSAIcyIw0o4gG01mZiYVFRXbwqUcdtzv+e19H3PgTu248JCeKZDU8CNaeJut5RW8O3s51708g/3z29GpdfMUS2v4EXPPRkReB47HLQ09BligquVJlC1lWM+m4ZGRkeHr3iwiVFS48PUVFcrZY75k1pI1TLzyMLrtkF3XYiaXetyzqY55K9Zx/OhPOLhXe576w35R7TxG8qhxuJoIDgXe8JaGLm6oisZomMQS0v7pz4uZXPwLI07eveEpmgZIuA3uqP36MShzDh/MWcG/vlqQatEMH+JRNgLMTJYghpFMqltNsnjleu6cNJuj+nbitH27pUJEIw78wgsV3V3IjiuncPPrM1nwS/xu7UZyiUfZfA1YTHWjXhJtNcmKCuXv//mOppkZ3HrqHjYEUw8IWlZ6/qQnAbjmv9MtWGeaEY+yuQk4XkQOT5IshpFUglaTHPeFGz674aTd6WzG5XpB0DypxYsWcs3xu/Lp3JW8MMWG09KJeGKY9QBeAd4WkedxPZ1VfhlV9ZkEyGYYSad45XrumDibI3bpaMNn9YigiAO5ubmcu38ur3+3mFten8WgPp3o0sYaEOlAPD2bp4FTcQpqMG4htbER29PePi5E5HQReUBEPhGRNSKiIjI+zjrai8hFIvKSiMwVkY0islpEPhWRC0XEJrAalaioUP7+4ndkZWZw26l72vBZPSKaDS4jQ7jjtD0pq6ig8CUbTksX4unZDE2aFHAdsBewDlgI9K1BHWcAjwBLgA+A+UBnnIJ8AjhORM5Qe/MMj+cmz2fyz79w52l7Wuu3nlHdstJ57Vvwt9/05ebXZ/LKtMWcso/1WlNNzMpGVcclUY4rcUpmLjAIpyzi5QfgZJx7dkXopIhcC0wGTsMpnhdrLa1R71m6ehN3vDWbgb3bc8aA7qkWx6gBBQUFUcMH/eHgfN74bjEjX/uegb070LFVszqUzogkLYaWVPUDVf2xNr0OVX1fVV8LVzTe+aXAo97h4bUQ02ggqCrXvzKDsooKbv29eZ81VDIzhDtP34sNm8u58TWLnZZq0kLZ1AFl3n5rSqUw0oKJM5byzsxl/N8xfchrbys9NmR6d2rJZUf25vXvlvD+7GWpFqdRE7OyEZGfYtzmJVPgeBGRJsD53uHEVMpipJ7VG8q44dXv6detNRcMtNhnDYnwiAL5+fkUFRUBcPGgXuzcqSXXv/w96zdbezNVxNOzycBFEYjc2gL53tY0zjrrgtuBfsCbqjopKJOIDBORKSIyZcWKFXUnnVGn3PbWLH5Zv4XbT92TJraccIPBL6LAsGHDKCoqommTDG47dQ8WrdrIP9/5IdWiNlpi/rWpar6q9vTZ2gJ9cL2GecCuyRI2XkTkcmA4MBvnrh2Iqo5R1QGqOqBjx451Ip+RPPxauV/+VMqErxZw0aE96detTapFNBJIUESBwsJCAAbkt6PggFzGfvYz3y30nR5oJJmENO1UdS7O06sbMCIRddYWEbkMGI2L53aEqv6SYpGMOiKolXvhdffSo102fz2qT6pFNBJMUESBkpKSbY2OZ684EeZ+ytUvTmdreYVvfiN5JGwcQVU3Ae8A5ySqzpoiIn8FHgBm4BTN0hSLZNQhQa3cOW+M4ebf9SO7qd+af0Z9Jiiqt4hsa3QsWDCfxa+PZvK7r/DUZz/XsYRGogettwJdElxnXIjIP4B7gWk4RbM8lfIYdU9QK7d8zUoO36VTHUtj1AV+EQVEpEr0gM2bNrLpiyLufedHFq3aWJciNnoSpmxEpAPweyCp0e9EJEtE+opIL5+063EOAV8DR6nqymTKYqQnQa3c7j1s8mZDxS+qd9C0vfWlS5l9y/H07b3TNo81I/nEsyz0DVHq6AH8DmgDXBOvECJyCnCKdxjqGR0kIk97f69U1au8v7sBs4ASnAdcqI4huMjU5cAnwOU+k/WKVfXpyJNGw2LUqFFV1qtv2iyb22+7LYVSGckmMqJAfn6+b7BOh7KudCkXXvTHbWWNJKOqMW1ARTXbKuDGWOuLqHskoFG24rC8+ZHnYqxDgQ9jkad///5q1G/Gjx+vPXrkKohmt+2szzw7PtUipZ6njndbI2H8+PGak5NT3TdBe+TmplrUBgMwRQO+q/EMox0RsA0C9gQ6qGqNPNFUdaSqSpQtPyxvceS5GOsQVT28JvIZ6U+kqzPAkPvfoOfVrzF5+hwGn2ct18ZG5NBaEAsWBI/8B00UNWpAkBZqzJv1bOoXfi3Y5tnZ2uGk4TrilRmpFi99aGQ9m0jy8vJ8ezZNWnfUOUvXVMnv917l5OTo+PHWSw6CBPVsDCMt8XN13rRxI2s+fpb/O9bm1BgOP4+17Owcuh59Ade9NKOKQ0F1E0WN+DBlY9RLwoc3gozAZWtW0Lp5Vh1LZqQrfh5rjz8+hjv+cSmTi3/h5WmLKuUPcqEPOm9Ex5SNUe+IjBAQRI8ePepQKqM+UFBQQHFxMRUVFRQXFwNw9RmHUnLHSZx9RH8u+tPF2xoxGRn+n8cg13ojOvGs1GkYaYHf8EYkzbOzufXWW+tIIqM+Emq0hN6lLauX8+SYx7all5eXVykTWnraiB/r2Rj1jujDGMIOHbvyxOOP29wJIyqxNFoAMjMztw27jRkzxt6rGmI9G6PekZub62unad62M3tdVcR7wwfRopm92kZ0YrW9VFRUUFFhgTtri/VsjHqHn1dR0+bZtBh4HteduKspGiMmYrW9mI0mMZiyMeodkV5F3Xvk0vn4yzn25NM5YY+uqRbPqCf4NVoiMRtN4khkIM72InKDFwzTMJJKuFfRefe9RtNdDuPGk3ePOlPcMMLxc4W+5JJL6NqtByC06djVbDQJJJHjDR3YHp/s5gTWaxiBfLtgFRO+WsCFA3uyc+dWqRbHqGdEBu8EePjhhyl8aToTvlpA/6MOSZFkDY9EDqOtxEVdvimBdRpGIBUVyg2vfk+Hls244uidUy2O0YC46thdaNW8CSNe+T7qXC4jdhK5UmepumCYNyaqTsOIxr+/XsC3C1Zx7fF9aWWRAowE0rZFU/72m13438+/8Pp3S1ItToPAHASMesnqDWXcMXEO++W35ZS9u6VaHKMBcvZ+ufTr1ppRb8xi/eatqRan3lMjZeOtlrmniBzq7a1ZaSSVyFDvF1z/T1Zt2MJIcwowkkRmhnDjyf1YumYTD34wN9Xi1HviUjaex9njuIXSpgIfevtVIvK4tzS0YSSUyFhoJSUlvHT/CPbcNJ3dd2yTavGMBkz/vLactm93nvjkJ35euT7V4tRrYlY2ItIZ+B9wIbAF+Bh4wdtv8c5/6eUzjIThF1ZEt27m6xcfSZFERmPiH8ftQrMmmdz8+sxUi1KviadncyuwE3AfkKeqR6jqOap6BJAHjPbSbQaUkVCCwoosWhi8wqJhJIpOrZrz16N35v3Zy3l/9rJUi1NviUfZnAh8oqr/p6prwhNUdY2qXgl8BpyUSAGNxkm4jcZCvRup5vyD8unVsQU3vTaTzVurRoM2qiceZdMK+LSaPJ8ALWsujmFUtdFYqHcj1TRtksHIk3dnxsdv0LV77jZHlaKiolSLVm+IR9nMBqoLPNUVmFNzcQwjSuh3yQAL9W6kiPmT32b12w/x67LF2xxVhg0bZgonRuJRNqOBs0RkT79EEdkbOBNn0zGMGhMY+l2Vpas2UFxcbIrGqHMKCwvZumVTpXMbNmygsLAwRRLVLwJjo4nIYRGnfgbeASaLyDM4L7RlQGdgEDAYeAsoToqkRqMhaL2adp270rl18xRIZBjBjaBY18Vp7ETr2XwIfBCxnQQ0BS4CxgETvf2F3vnfefkMo8b4hX7PyGrGP++6PUUSGUawQ0q7du0qTTi2YTV/okV9vgkXwdkw6pTQEFlhYSEl8+eT2aoDf79uJEMGD06xZEZjZtSoUQwbNqySPTGzSRZr166ltLQUYJsdB7Ch3gjEIppWZcCAATplypRUi9HoWbF2M0fe/SED8tsyduj+qRan/jP2BLcf+kZq5ajHFBUVUVhYyPz588lu24nNGzdSvnFNlXx5eXkUFxfXvYApRkS+VtUBfmnxRBC4QUSsaWnUGXdNms2mreVcf+JuqRbFMIDKi/ZNmfED5RvX+uYzO05V4vFGuw7YI1mCGEY43y5YxQtTFnLBwJ7s1NGmbhnpx65dW9OmYxffNJtwXJV4lM0ioHWyBDGMEKFF0Tq2asZfjrJF0Yz05c7bb0OymlU6ZxOO/YlH2bwEHC0i2ckSxjAAXvxmId8uWMU1x/WlZbNErlxuGIll2AVD+FPhHWS27ojYhOOoxPNLHgEcCrwsIsNVdUaSZDIaMWs2uUXR9s3dwRZFM+oFD15/OcU77MvqDVt4b/jhZDfNTLVIaUk8PZtvceFojga+FZH1IvKziPwUsc1LjqhGY+CB936kdP1mRp68OxkZtiiakf5kZggjT9qNxas38ciHtshaEPEomwygDJjvbcu98xKxxbsg2+ki8oCIfCIia0RERWR8PHWE1dVdRJ4SkcUisllEikXkPhFpW5P6jLpl7vK1jP2smLMG9GDP7jukWhzDiJkDdmrPyXvtyKMf/8SCX3zi+hmxD6Opan6SZLgO2AtYBywE+takEhHpBXwOdAJewQUO3R+4AvitiAxU1dKESGwkHFXlxtdmkt00k6t+s0uqxTGMuLnm+L68M3MZt7wxk8cG+041adTE1QtJElcCfXCebpfUop6HcYrmclU9RVWvVtUjgXuBXbBF3dKat2cu45MfV3Ll0X3o0LJZ9QUMI83o2iaby47szaTvl/HJjytSLU7akXJlo6ofqOqPWotQBl6v5lhcENCHIpJHAOuBwSLSosaCGgkjfGG0/Px8nn7mWW5+fSZ9Ordk8EF5qRbPMGrMRYf2JK99DiNf/Z6y8opUi5NWxK1sRKSZiBwiImeJyPl+WzIErYYjvP3bqlrpCavqWtwKojnAgXUtmFGZyIXRQrGkpk24h+/uPo9mWU0smKFRb2nWJJOBzOKjm86kqb3LlYhrEoOIXADcCQQZ3AUXvPOZWsoVL6FB/h8C0n/E9Xz6AO/ViUSGL34Lo5Vt3kTZtDdZ7x1bMEOjvlJUVMTokX+j3HvH7V3eTjyx0X4LPAEsAa7CKZZXgELcOjcC/Bu4IPFiVksbb786ID10PtDFSUSGicgUEZmyYoWNtyaLWGNG2aJURn3ErzG1YcMGhgwZ0uiXIIhnGG04UAocrKr3euemqertqvpb4I/AqUC9nGejqmNUdYCqDujYsWOqxWmwxBMzyoIZGvWNoHe2vLy80S8lHY+y2Rd4zbOBVCmvqk/ibCOpaI6Gei5tAtJD51fVgSxGFPwWRhPxn7xpwQyN+kYs72xj7bXHo2xa4IbQQmyiamDOKcABtRWqBszx9n0C0kPRHINsOkYdUVBQwJgxY2jXeUdA6NS1OxdffHEVBWTBDI36iF9jyo/G2GuPx0FgKRA+vrSE7Yb5EG2AVAQGCi1FfayIZIR7pIlIK2AgsAH4MgWyGREcfdJpdJnTnpN7tuOpP+yHiDBw4MBti1Ll5uYyatSoRm9QNeof4avMzp8/n4yMDMrLy6vka4y99nh6Nt9TWbl8AhwlIocCiEg/4EwvX1IQkSwR6evNq9mGqs4D3gbygT9HFLsR1yt7VlXXY6ScW9+cRVmFMvLk3bcNoYUvSlVcXGyKxqi3hL/L48aNo3l25UD5jbXXHk/P5i3gPhHZUVUX41ygzwA+FJFfgHY4j7Rb4hFARE4BTvEOQysRHSQiT3t/r1TVq7y/uwGzgBKcYgnnUly4mvtF5Cgv3wG4OTg/kBpbkhHBlz+V8sq0xVx+ZG/y2tscW6NhE2o0/fnKv7F6xVK6duvGXXfc3igbU/H0bB7DfexXAqjqTOAonBJaietZHKeqb8Ypw97AEG/7jXdup7Bzp8dSide7GQA8jVMyw4FewGjgQIuLlnrKyisY8cr3dNshm0sO751qcQyjTigoKGDB/BIG3PI2A65+nrPPObdSemREjYbqqRZPIM4yYFnEuS+BE2sjgKqOBEbGmLcY13sKSl8ADK2NPEbyGPd5MXOWrWXM4P625ofRqGjVPIvrTtiVKyZM419fLeDcA5zNJhRRY0MjmASa8thoRuNg+ZpN3Pfujxy+S0eO2a1zqsUxjDrn5L125ICe7bhz0mx+Wb8FCJ4E2hBdowOVTSKWf7YlpA1wrbfevXbi+5uO490bTue5555LtUiGUeeICDef0o+1m7Zy16TZQLALdEN0jY7Ws/lZRK4QkbjjvYvIXiLyCi6sjdGIKSoq4sKL/sjalUsAZdHCBY12BrVh9OncigsG5jPhqwVMnf9roAt0Q3SNjqZsJgH/BJaIyCMickS0noqI7CQil4jIF8A3uAXRPgjKbzRcwg2eQ4YMYfOmjZXSG+owgWHEwhVH96FTq2Zc/8oMbr6l6iTQhuoaHeggoKpDRORB3KJjw7ytXERm4SZ0/go0B9rj5t90wBnvl+PcjO9V1c3JFd9INyINnn4T2qBhDhMYRiy88p9/8fOD/2DyksV82XlHhgwZwptvvtngJzRH9UZT1a9ws/J3Bi7EuTrvDewRkXUF8F/gReBFz3PNaIT4GTz9aIjDBIZRHZGNsdJli3j66XE8/viYBqlgwonJ9VlVfwSuBhCRHNx8m/bARmC5qi6JUtxoRMTSY2mowwSGUR1+jbGNG92wckNXNnG7PqvqBm8Z5y9V9VtTNEY4QT2WzMxMRIS8vDzGjGn4rTjD8KMxeZ9FYvNsjIQyatQosn0MnuPGjbO4Z0ajJ6gx1rRNRzaV+ds3GwqmbIyEUlBQwAmXjCCzdUfryRhGBH5LEDRrnk3LQwbzyIf1ct3JmDFlYySUGYtW803Tfvxt7HvWkzGMCELrOeXl5W1rjD35xOOce24Bj3w4j3kr1vmWawjx0+KJ+mwYUSmvUK59aTptc5py9W/7plocw0hLCgoKqjTAjlm7iQ/nLOfa/05nwrADK61e21Dip1nPxqg1oVZXkyaZvFl4KoMyZ9MmJyvVYhlGvaFTq+Zce/yu/O/nX/j3lIWV0hpK/DRTNkatCLW6SkpKQJXyNSt49JZ/1MtuvmGkkjMH9GD/nu246vaH6JGbt23IrKSkxDd/ffNgM2Vj1IqG0uoyjFSTkSEcWDGLha/ex8IF81FVSkpKKg2phVPfJkabsjHiJtxY2VBaXYaRDtx/x03o1spRvlS1isKpjxOjAx0EROT9GtapqnpUDcsaaU6ksTKI+tbqMox0IKiRpqrk5eUFxk8rKiqisLAwreOrRfNGO7yGdWoNyxn1gFhin9XHVpdhpAO5ubm+owV5eXkUFxf7lqkv3mqBw2iqmlHDzdb7bcBEGx6zSZyGUTv8Jn02z86O2nirL3ZTm2djxEVNWl6GYcRGqJEWGhJr2qYjPY/7I6edeXZgmfoSb80cBIy48Gt52bCZYSSOgoICiouLqaio4N3J37Mh9yDuffeHwPz1ZbXPGikbEekuIgeIyGF+W6KFNNKHgoICrh51L5mtO4INmxlGUjlk5w6cvV8PHv/4J75dsMo3T31pAMY1jCYixwL3AtXFIjG7TQNlw5atvFu2MwcVTmDiFYfRopmNxBpGMrn2hF35cM4K/vafb3ntL4fQrEnlz2vk0Fu6eqPF3LMRkQOB14EdgAdxS0B/DDwOzPaOXwNuSryYRrpw58Q5lJRu4K7T9zJFYxh1QOvmWdx6aj9+WLaOB96bC1QNzAlsG3pL1+C38QyjXQNsAvZT1Su8cx+o6sVAP+AW4GjgP4kV0Ugl4S91l249ePDxsfzh4HwO3Kl9qkUzjEbDkX07c9q+3Xn4w7mMun/MthBRoSgDw4YNS/sQUfEom4OAV1V1cWR5ddwAzAJuTKB8RgoJj3umqixbvJBfJz1I3q/fpFo0w2h0jDh5N7q0bs7NI26oF67OkcSjbNoA4b50W4AWEXk+A8xBoIHg579fUbaZG0dcnyKJDKPx0rp5FnedsRebVy33TQ93dU7H9W/iGXRfDrSNOO4VkScLyK6tUEZ6UF/89w2jsTCwdwfadOzC6hVLqqSFXJ3TNaJAPD2bH6isXL4EjhGRPgAi0gU4DfgxceIZqaS++O8bRmPi3rvuICOrWaVz4a7O6RpRIB5lMxEYJCLtvOPRuF7MVBH5CueR1hG4L7EiGqli1KhRZDZtXulcOvrvG0ZjYuiQwdx09/2Bc92CRh5KSkpSOqwWj7J5DGePKQNQ1c+AM4Cfcd5oS4BLVPWZRAtppIjeh7DDsX+mXecdLe6ZYaQRhZcP467/fEre319j9MufVfpNRht5SKX3WszKRlXXqOr/VHVt2LmXVLWfqmar6q6qOiY5Yhp1zdzl67j59Zkcd8oZrFi8MK399w2jMfKXI3szIK8thS/NYH7p9mEzv4gCkaRiWC1tYqN5IXCeEpHFIrJZRIpF5D4RaVt96Ur1HCIir3jlN4nIfBF5U0R+myzZGxpbtlbw139NJTsrk3vO2IuMDP+VAg3DSB1NMjO47+y9EYHLJ0ylrLwCcE4AY8aMIS8vL3CVT6h7R5+0UDYi0gv4GhgKTMaFxPkJuAL4QkRimkEoIpcAnwBHeft7gY+AQcBbIpLejuhpQFFREZ137M4blw9i8aMX8s5rL6ZaJMMwAujeNofbTt2DaQtWMfrd7b5Z4cE88/LyfMvWtaNPXMpGRAaJyOsislxEykSk3GfbWgM5HgY6AZer6imqerWqHolTFrsA1VqkRSQLuA0X5aC/qg5W1WtUdTAwANgMFIpIs2j1NGaKioq48KI/smrFEkBZvmRhvZiZbBiNmRP33JEzB3TnoQ/n8sW80irp6RKoM57YaCcA7wLHAxtwrs8f+2yfxCOA16s5FigGHopIHgGsBwaLSOQE0kja4Sae/qCqc8ITVHUWznU7G2gZj3yNiX9cfQ2bN22sdC4dXCYNw4jOyJN3p2f7FlwxYSor1m6ulBY5rJaXl8eQIUMoLCysU++0eHo2I3GeaL9V1XxVPVRVj/Db4pQhlP9tVa0IT/CcET4DcoADq6lnObAC6CMiO4cneHOBdgamqWpV1W9QVl7BooULfdNsEqdhpDc5TZvwUMG+rN5YxhUTplJeoZXSw4fVRo0axbhx4+o8tlo8yqYf8C9VfTvBMuzi7YNWBwoNRPaJVomqKvBn3P/0tYiME5HbROQZnD3oe5yrti8iMkxEpojIlBUrVsT1DzQE7po0h8zWHXzTbBKnYaQ/u3ZtzS2n9OPzeaXcF2WxtVRN+oxH2awDfkmCDG28/eqA9ND5HaqrSFX/DRwJrALOB64GBuOG4sbinA6Cyo5R1QGqOqBjx44xit4weHfmMsZ8/BMnXTA8LcZ2DcOoGWcM6MFZA3rwwPtz+WBO9THUYjmfKOJRNu/hIj+nLSJyHs6u9AmwK274bVec7A8CE1InXXoyb8U6rvzXNHbfsTXP33lVlbFdm8RpGPWLG3+3O7t2bc2V/5rGwl83VEkPGqlo165dUoN3xqNs/gH0EpHrJJrzdvyEei5tAtJD5/3XRPXw7DJP4YbLBqvqbFXdqKqzcb2br4EzROTw2ovcMFi7qYyTr7idOaPP562/DqLvzi70XbovwmQYRjDNszJ5pGBfysuVPxd9w6ay8krpft5pWVlZrF27Nql2nHiUzQjch/xGYJ6I/NebhBm5PRmnDCHPsSCbTMjYHzwI6TgWF3X6Ix9HgwqcpxxA/zjla5BUVCgn//V2Zv37bspWL69XizAZhhGd/A4tuOfMvfh24Wqu+e90nEnb4eed1rp1a7Zs2VKpjkTbceJZYuAPYX/ne5sfClwYR70fePtjRSQjXFGISCtgINtdraMRmj8TZHAJnd8SkN6ouP/9H/nk+QfQrZXdJEMvmPVoDKN+c+zuXRh+TB/ueecHdunSiosHbQ/aX1BQUOk3npHh3+9IpB0nnp5Nzxi3neIRQFXnAW/jlNefI5JvxC3Q9qyqrg+dFJG+ItI3Im9ofs/pIrJneIKI7A2cjlOE78cjX0PknZnLuO/dHylfu9I33VydDaNhcNmRvTlxz67cMXE2789eFpivLpYTiScQZ0msWw3kuBQ3T+Z+EXnZc1l+H7gSN3wW2Zeb5W3h8k3GeZxlA1+JyAQRuUNE/gX8D2gOjFbV72sgX4Phjgef4PiD96TkjpPIDGjNmKuzYTQMRIS7Tt+L3XdszeXPT+PHZWt989VFlIG0iI3m9W4GAE8DBwDDcQu1jQYOjGMi5oW4+GpfAL/x6jkG+BQ4R1WvTKzk9YsHHx/Ltf93GVtXLweU8vLyKnnM1dkwGhbZTTMZM3gAzbMyueiZKZSu21wlj58dJ9GeqBJuOIqaUSSW5m4FsEZV19RKqhQzYMAAnTJlSqrFSChrNpXReccebPq1alc6MzOTiooKcnNzGTVqlNlrGipjT3D7oW+kVg4jJXwz/1fOGfMlfbu25vk/HkBO03hM9rEhIl+r6gC/tHh6NsW4hdKibSXAryKySEQeEBH/KelGnVFUVEReXh5tspv5KhqAiooKc3U2jAbOvrltefDcfZm+cBWXPTeVreUV1RdKIPEom2dw7sOCmxvzEfCCt1/tnf8IeBMXQ+3PONtJ45qOn0YUFRUxbNgwz+Af3IM1G41hNA6O2a0zN5/Sj/dnL+falyq7RCebeJTNbcBewO1AD1U9UlXP8ZYC6AHc6aUPx3mk3QjkAdckVmQjVq699toqMZAiMRuNYTQuCg7I4/Ije/PClIXc+0510xcTRzzK5nbgW1W9NtwNGUBV16vq1cB3wO2qWqGqNwLTVyVc3wAAHJZJREFUgJMSJ64RD/MXLAhMs3A0htF4ufKYPpw1oAf3vz+XJz4JDBmZUOKxEB0GPFpNns+Bi8OOv8R5hxl1zMMfziWzVQfK11SNYJ2Xl0dxcXHdC2UYRlogIoz6fT/Wbi7jljdm0SRD+MPAnkm9Zjw9m2ZAl2rydGX7TH5wkaJrsnKnUQvGfV7MnRPncNR5V1gUZ8MwfGmSmcHos/fhN7t3ZuRrM3n2i+KkXi8eZfMtcJaI9PNL9Gbtn4kbOguRj1vQzKgjnvr0Z0a8+j3H7NaZ1++/xqI4G4YRSFZmBg+csy9H79qJ61/5nuf+l7zoIfEMo92E8zT7SkTG41bQXAZ0Bg4BCnCBMG8GEJFsXHDM1xIpsOGPqvLA+3P55zs/8JvdO3P/OfuQlZlRJQaSYRhGOE2bZPBQwb5c/OzXXPvSdJpnZXDqvt0Tfp2YlY2qThKRAuAR3Ez9C8KSQ+7QF6rqJO9cU+Astkd1NpKEqnLrm7N4/JOfOXXfbtx52p40yUyL4BCGYdQDmjXJ5JHz+lP40gz27F7tOpU1Iq4ppKo6QUReB34H7INba2YNMBV4RVXXhuVdDUzyrchIGOUVynUvT+f5yQsYclAeI07anYyMRC43ZBhGY6B5Vib3nLlX0uqPO16Bqq4DirzNSCFrNpVx+fNT+XDOCi47ojfDj+1DYte1MwzDSAyJD45j1AnFK9dzwhW38cPrY9i6diUPTsilq8U1MwwjTQlUNiJyvvfnS6q6Nuy4WlT1mVpLZgTy+byVnP33u1n42n1omYvgGlplEzCFYxhG2hEY9VlEKnABtXZV1R/CjqPWB6iqZiZWzLolXaM+V1QoT376M3dMnM2iRy/wDazZvn17WrZsyfz58y2Ks1EZi/psJJloUZ+jDaNdgFMuS7xjiwSQQpau3sTwf0/js7ml/Gb3zjy+arlvvtLSUkpL3fI/1tsxDCNdiHk9m8ZEuvVs3pq+hGtems7msgpGnLQbZ+3Xg549e1JSEtuiqBaexgCsZ2MknUStZ2PUMUtXb+KKCVO5pOgbctvl8Mblh3D2/rkurpHPMq5BuCUGDMMwUketvNFE5GTgSJyt5mNVfTEhUjVyNm8t58lPf+bB9+eytUK54qiduezI3mSFTdQMDYsVFhZus8+sW7du2xBaOLZejWEYqSZqz0ZEThKRj0VkkE/aWOAl4HLgL8ALImLKphZUVCgTZyzh2Hs/5s6Jczikdwfe+79BXHlMn0qKJkRBQQHFxcXbVtkcPXq0Bd40DCMtqa5nczKwL/C/8JMiciIwBFgP3AusBYYBp4jIOar6fBJkbbBsKivnpamLePzjn/hp5Xp6dWzBMxfsz2F94lvk1K+3Y95ohmGkA9XZbPYHPlHVTRHnQ55qQ1X1BlW9CzgU2IQLyGnEwE8r1jH63R855I4PuOa/08lplskD5+zDpL8e5qtoioqKyM/PJyMjg/z8fIqKqgZxiOztmKIxDCMdqK5n0wV4x+f8YcAqYNuwmaouFZE3gIGJE69hUVGhzF2xjokzlvLm9CXMXupCyR26cwcuGbQ3B/VqHxhupqioiGHDhm1b5tncmg3DqE9Up2zaAlvCT4hILtAOeE2r+k3/jBt6a5SUVyhrN5WxeuP2bcXazXy/eA0zFq1m5uI1rN3s1pIbkNeWG07cjd/268KOO2RXW3dhYeE2RRNiw4YNFBYWmrIxDCPtqU7ZrAUiFzbo7+2nBpSJHHJrNDz60TzumlR1RYVmTTLYtWtrTtmnG3t0a8NhfTrSpU3zuOoOcl82t2bDMOoD1Smb6cAJItLSi/YM8HucveZTn/w92R5xoNFxSO8ONM/KpE121ratXYss8tq38PUmi4fc3FzfSZzm1mwYRn2gOmVTBDwGfCQi44A+OAeApcAH4RnFGRsOAb5Igpz1gr167MBePZKz8NCoUaMq2WzA3JoNw6g/VNfcfhK3ANo+OBfnS4GtwBWqWh6R9yicQ8G7iRaysRLufVZYWMiQIUPIy8tDRMjLy2PMmDFmrzEMo14QtWejqhUicgJwDnAwUAr8V1Wn+WTvAIwGXk24lA2UoqKiSnNijj/+eN58803mz59Pu3btWLt2LVu2OP+MkpISxo0bZwrGMIx6iQXi9KEuAnFGujLHigXVNGqMBeI0kowF4kwTwofFhgwZEreiAfM+MwyjfmLLQtcRkT2Z8vJIk1dsmPeZYRj1kbTp2YhIdxF5SkQWi8hmESkWkftEpG0N6tpXRJ4TkYVeXctE5KN4lrZONH6TMuPFvM8Mw6ivpIWyEZFewNe41UAn4zzffgKuAL4QkfZx1HUZ8BVwLPAecA8uOnUmcHxiJY+dmgx/ZWVl0b59e/M+Mwyj3pMWygZ4GOgEXK6qp6jq1ap6JE7p7ALE1JwXkWOB+3Hu1z1VdYiqXquqF6vqIcDgJMlfhcigme3atfPNl5mZuU2ZXHLJJZVcm8eOHcvKlSstqKZhGPWelNtsvF7NsUAx8FBE8gjc0gWDRWS4qq6vprq7gI3Auaq6NjJRVctqL7E/4W7Mfm7LWVlZNG3adNs5cMNi1lsxDKMxkA49myO8/duqWhGe4CmMz4Ac4MBolYhIP2BP4G3gFxE5QkSuEpHhInKUiCTtfw0Z/0tKSlBVSktLKykVgLKyMlq1amWTMg3DaJSkvGeDGyYD+CEg/Udcz6cPzgYTxH7efjnwIW4ZhHCmi8ipqjq3hnIGEqvx/5dffmHlypWJvrxhGEbakw49mzbefnVAeuh8dUHHOnn7C4F84ASv7j7A/7d37vFWlWUe//5Q0EBDERUbJo+RipUjGVpiyjFHyryQ1UipBfaZqSZN7DalZuIYVlOWdnU0Fa9ZWV4aUmuqo6KZoTZpo5mX01RqgoKIkIg888fzbs9inbX27ex99oHzfD+f9Vl7v/fLs9bz3tb7XgbsDiyUNKrIs6T3S1osafGSJUvqTLpT7+R/LFsOOsqE3f0Kgg4wFJRNq6jkZRPgXWb2YzNbYWZ/AN4LLMYVzzuKPJvZeWY21cymbrttY8cx16NEYtly0HEO/rxfQdABhoKyqfRcxpbYV8yX1winYv+4ma2383Q65O3a9HfvhlNYg/nz5zN69Oj1zGLZchAEQR9DYc6mctrYLiX2O6d72ZxOPpwypbQs3Wsfi9kgFSWS3VRz/vz5oVyCIAgSQ0HZVM7FmSFpRHZFmqQtgX2BVcDtNcK5HXgW6JI0pmCZ9GvS/ZEWpLkfRx99dCiXIAiCEjo+jGZmD+HLlbuA43LWpwNjgEuzykPSZEmTc+Gsws/f2Rz4bDrMreJ+d2AOfhbPVa3PRRAEQVCNodCzAT+U7Tbgq5IOBO4DXo9/g/MAcErO/X3prpz5qfiS5xOBfSTdCmwPvB1XQicm5RYEQRAMIh3v2cCLvZupwAJcyXwMmIQfxvYGM3uyznBWAPsBZwLjgOOBQ4FFwJvN7JyWJz4IgiCoyVDp2WBmf8I34qzHbb5Hk7VbifeE8r2hIAiCoEMMiZ5NEARBsHETx0IXIGkJ8McmvY8HYk+azhBl31mi/DvHUCn7Hc2s8Kv4UDYtRtLisjO4g/YSZd9Zovw7x4ZQ9jGMFgRBELSdUDZBEARB2wll03rO63QChjFR9p0lyr9zDPmyjzmbIAiCoO1EzyYIgiBoO6FsgiAIgrYTyiYIgiBoO6FsaiBpoqQLJT0q6TlJvZLOlrR1g+GMS/56UziPpnAntivtGzqtKHtJPZKsyrV5O/OwISLpnZK+JukWSStSOV3WZFgteX6GC60q+1TOZTL/eDvSXoshszfaUETSJHw36u3wkz7vx0/6nAu8RdK+9WwSKmmbFM4uwM+BK4HJ+F5wh0jax8webk8uNkxaVfYZTi8xXzughG6cfBrYA1gJ/BmX1YZpQx0OB1pS9omngbMLzFcOIMzmMbO4Si7gRsCAD+fMv5zMz60znP9M7s/KmZ+QzG/odF6H2tXCsu8hnQweV91lfwB+Qq6A7lTel3WqDofT1cKy7wV6O52f7BVLn0tIrbIH8UqbZP1PEH0MF4jtrP+poNlwtgCeANYBO5jZMxm7EcDDwI4pjujd0LqyT+57gOlWZafwoBxJ3fhpupeb2TEN+GtZHQ5Xmi375LcXwMy6Wp6wJok5m3IOSPefZB8UgKQwbgVGA2+oEc4bgJcAt2YVTQpnHd76y8YXtK7sX0TSLEmfkvRRSQdL2qx1yQ0KaHkdBg2zmaRjJJ0saa6kAyRt0qnExJxNObum+wMl9n8AZuDzMD8bYDikcAKnVWWf5crc/yckHWdmcUx4e2hHHQaNMQG4NGf2iKRjzeymwU5M9GzKGZvuT5fYV8y3GqRwhhOtLLNrgcOAiXgPczLwueT3u5LeMoB0BuWE3HeWi4ADcYUzBtgdnzvuAq6XtMdgJyh6NsFGjZl9JWf0e+BkSY8CX8MVzw2DnrAgaCNmll99eS/wQUkrgY8B84AjBjNN0bMpp9LyGltiXzFfPkjhDCcGo8y+jS97npImrIPWEnI/NDk33fcf7IhD2ZTz+3Qvm0vZOd3LxqRbHc5wou1lZmZ/AyoLNsY0G05QSsj90GRJug+6zIeyKecX6T4jLVF+kdQS3hdYBdxeI5zbgdXAvvkWdAp3Ri6+oHVlX4qkXYGtcYUzFI7T3dhoex0GTVFZ/Tfon1mEsinBzB4CfoJPqB2Xsz4dbxlcmv1GQNJkSet98WtmK/EVIWPwcdIsx6fwb4xvbPpoVdlL2knSuHz4krbFJ1ABrjSz2EWgSSSNTGU/KWveTB0GjVFW9pJ2k9Sv5yKpC/h6+tvU9kMDIT7qrELBdhv3Aa/HvyF4AJhmme02JBlA/gPCgu1q7gB2A2biH3xOSw9nkGhF2Uuag49RL8Jbck8BLwfeis8ZLAYOMrOYN8gg6W3A29LfCcCb8fK7JZktNbOPJ7ddwCPAH/MfEDZah0Fryl7SPHwRwM3AH/He+yTgEGBz4MfAEWa2pq2ZydPpLQyG+gX8Pd4KfgxYkyrvbGDrArdGydYowDjgnOR/TQrvQmBip/M4VK+Blj2+3HMBcA/wJPA8rnBuAT4MjOp0HofihffArcrVm3HblTdrtg7jak3ZA9OB7+B70S1Pcr8E+CnwXlInY7Cv6NkEQRAEbSfmbIIgCIK2E8omCIIgaDuhbIIgCIK2E8omCIIgaDuhbIIgCIK2E8omCIIgaDuhbIIgCIK2E8pmGCCpS5JJWpAzX5DMuzqSME9Dd0rDvE6loQhJUyX9VNLSlL7fdDpNGyOpbHvaHMeQlLHhRiibASDplCTEljZ23OApU0zDCUkvBRYCe+MnfJ5O39bsHUPSxCRz35f0oKR1qa5eWeJ+pKQjJF0g6V5JKyStknSPpH/fWI5W2NBkdkNLb6uIw9OaRJKAf8a3ixDwL8DHO5qoxjkJ+Dzwl04nZIixN76f1ylmdmanE5NhKvBZXOYewc+MqXbS5STgh8Cz+C7MC4Et8P22TgVmSdrXzDb2Xa8rexFu7Pkc0kTPpnlm4HsTXQw8DsyWNKqjKWoQM3vMzO43s+c7nZYhxsvS/dGOpqI/i/FDr7Yys0nA/9Rw/wy+4/L2ZnaYmX3SzI4DXoUrnl2A09qZ4KGAma1Kch7KppN0euO5DfUCrsJbmNOAL6Xfs0rczkv23cC7gTvxszweBb4MbJbcvQnoAVYAy/CjCbYpCK83XWPxLcP/AvwN+F/gBHIb7dG3Yd+CnPmCZN6VS2fRNSe5mZP9X5A2A3oKzLcHLgD+ip/v8xtgdioTA+YV+BmHH9t8X/LzNPAzYEYT9XUgfvzzU8Bz+K7DnwfGFpRTaf5Lwh4F/Dq5O7zA/pJkd2rG7MVyxHfjvQ3vgSxLsrVzHXnqSWG8sonymJb83tOAn0p8o4DP4AekPVcgV+/Ge1LLk1zeB3yaJOe15AVX9p8BbsUbcmvwZ+UK4FUlz1Y1me0nY/gmlWuA8SV5/WTyc3zOfCL+zD2c8v4kcB2wV51lWDO9yd0I4INJrlYm2fg18K/AiDrjen3K48NZOU92O+DP4kpgckEdb4b3oh9J+XwIb5g0vXltDKM1gaTtgcOBB8zsNkkr8C293w98t4rXDwMHA9fglToD+AgwTtK1+PzAQuA8/GVwDDA++ckzCvhvfBjlyvT/HfjO0rvS/wyReuhJ4c3FW83XZOyaniCXNB5/mb4C3+5/ES7s5+JnnhT52TGlpwvfpfkG/AyUQ4EbJH3AzM6vM/4PAN/CH9jv48c6dOMvlMPSUNJy/OV4OjAFP/7hWvryXZp/M1sjaRZwN3CRpClm9qcU97HAe3AlOb/A+9vx+r065XcKXo8HSJpmZr8v8NMKKr3ZZs7y+QGwF3A9LiNPVCwkXQgcC/w5uVuOH9h1BnCgpIOs9vlB+wOfwhXWD/AX4s7AO4HDU31VenU9NCezFwNn4orxawX2s/EX9RWZvO2Jy+s44EZ8iHI8fiTAIklHmNmPa+St3vReChwF/Ak/wtyAI4BvAm8Ejq4RD2b2K0knA18EzgeOTPkYAVyODxXPMbP7C7x/D6/jq3BZmYkryqmSDrekmRqiWS01nC/8QTDgpIzZYmAdBa1M+lozTwO7Zcw3A34HvIC3kKZn7EbgW4IbMCUXXm8yX0SmtYg/BA8lu/0z5l3U0bOp5jZjP4cGeza48jTgKznzqUmQ+/Vs8IdyHfCunPlW+EO5Gh8eqlVXO+ItsxVkWnDJ7psp7vMayWOVuI5M/m4BNsHnCZ7FW5ATSuIw4NCc3dxk/rMa8fXQfM/mW8nv5xrwU4nvtxT0CDJ5+iHwkpJnYG4d8rIdsGVB+Hvgiuf6nHktme3OyxjeQ3kBWFzgfq/k/gcZs02BB/Ge2vSc+5fhowuPUdB7Kwi/VnrfnezvArbImI/B3zMGHFVnnQlvwBrwgWR2Wvp/cZU6foDMMRD4OTi/THbvaVTezCyUTcMF5pX3YBLUv8uYH58q4gsFfioP2hkFdp9JdpcU2M1OdrNz5r3JfL8CP5UH/qKMWaFwMwjKBhiJv3BXkOvK59IwL2O2RzL7fkkcM5P9h+qor1OS2zML7LZO6VrN+kq7ah5rxHdu8vsl/ByddRQM+2Xi6KdQcEX1YLLfsUpclRdDQ8oG75Wvw1vNdZ8rk4lvZon93XjjYauSPC0F7qgmL3Wk4Tr8hT+yAZntzstYMv9JMn91zvzr5IZEMzL3xZI4Kg2Et9aRh1rprTQyi+TmwGT38wbKbDze01yNj3isxYcRx1Sp434KJVOOv2j0uTCLYbRmeBO+yudGM8uu4roCOAuYI+nTVjzpvrjArDIJfWeBXSX8iQV2a/GhqTw96f7aArtOMBkYDdxiZk8X2PfgSjXLPuk+tuTbiG3Tfbc64t8z3X+etzCzZZLuxodtJlN7wr0eTsSHQD+W/n/OzAqHChM3FaTrBUmLcDl7LX7gWEuQNA2X1WeBd5jZsiaCuaMg3NF4I2EpcKIv1uzHc9RXZ0g6BJ+zmIq/LPPvqvF4T2IgLAAOwuXv31K8o/CexRP4iZYVKjK5Y4lM7pzuu+X8NcOeeGOgp8DuJryhW/fzbWZLJR2FPwNfx5X1LKt+JHc/ucRHUhqKO0som8Z5f7ovyBqa2VOSfoSPt8/ExzrzFL1s19ZhN7LAbqmZvVBg/ni6jy2w6wSVdPy1xP7xArNt0v2gdJWxRQPxl72YKubVlhDXjZn9TdJC/JTQtcA3anipVS4tq0dJ++DzLOuAg82sn9Kok6I62xrv9W/LAFe4SZqLn+a5DG/l/x++oMbw+ZE98CHogXI13rM9RtJJ6Xk6FB+OPtvWn1uqyOQ/1QizHpmsxVjgKSs4ttnM1kpaig81NsIdeDnuhPdMajWs+snlAOIGYulzQ0jalr7zwb+T+aDTJBmuaKBPIbWT8ZI2KTCfkO5FyqsVrEv3fg0VSUUv7Eo6ti8Jb0KBWcXPXDNTlevYOtJbCasoHvCFCll3A0LSG4FP4C38TYELVdLMT9Qql1alaz98UrsyPHNrs2FZGlPJUUnn3TXqrFpZIGlTfNj5cXx4a5aZfcLMTjOzeZQr52bysRqfCN+BvkZNpZd9cc55JX8za+Tv9BYk7Wl80VC/RmYqn/G4kmyEc3BFsxQ4WFKtBQb95HIAcQOhbBplNr7q6058GW/RtQT4R0k7tTktm+LDNXm60/3uJsOt9JaKFBl4axP8bPk8UwvM7sdbpVMkFbXSuwvMbk/3/UrS0AiVcugXT1KOU+hbnjsgJG2Dn/3+PD7cejm+4vCTVbxNLwhnE3zFETRfj9nw3oSv5lsLHGRmt9fw0jBmthJf7PJqSeMGENR4vJd5m5mt1xuVtAV9w6JZaslsNRak++zUmDwY+K2Z5VeytVIma6X3bvzdvH+B3f7J3131RibpSLwBfDNefkuAcyXtXMVbP7nEZXITmpXJZiZ6huuFf1dgwN5V3JyR3MzPmM1LZt0F7udQMhlN+cRmL+Wr0SoTy82uRtsC773cVJK/HfCH5Q/A6Fzcd9G61Wg3p3jeV5KO3YHt6qizLnwJ63JyE+n4klcDzq+3TmrEdV3y98H0f8tUTs8D00riMMpXo1WdBKaOBQK4sluFt2hfO0D57yF1bErs35fScw3FiwS2BvbMmeUXlIzA55N6WX8l1ki8MVcps0ZktrtIxjL2D6QyOjW5+0iBm5H4s7WKkkUA+LzO6CK7nLta6T0qpeOO3DM2OpkZcHSddfYKvKe0lLSgCVeo6/DndbOc+4pMVVuN9t5m5CfmbOpEUjf+xfU9Vn2s+wJ8BdSxkk6z2t8UNMtj+Lj1vZKuwx+Gd+LK4JtmdnMzgZrZSkm/AvaTdDkudC8A15nZb83ssWT+HuA3aX7ipcBbcQVRNHl4Mr6K5kRJU+n7zmYWPpl6eIGfyoTmBZJOAH6FK4yJwD8Ar8Ef7icK/Gbz0yvpRHzu5C5J38NbdtOT//up3vOoixTHYfhy2XNT3M+k729+iQ+7TrH+E/I/Aq6WdDX+MpuCvwyeAj5UEM+CzN/J6f4FSc+k3982s0XJ7a74t0Kb4+U8U9LMfJjmw1MDxswulPS6lO6HJN2IzxOMw4dw9gcuwif+y8JYJ+mr+OcF96Tvz0YBB6RwfpF+Z/1Uldk6kn4J3kg8Fe/9XV6QruclvR0filwo6TZ8Cf4qvJe/F/5i3yGZlVLHM3ZFqqcjgd9Juoa++aqdgO+aWb805knDcFfiz+fhlhY0mdn1ks7Ct9f6Ev79X577UtzZ72wm4cuoL60Vd1nG46qvhXB5qvAT6nBbWVJ5RPo/j9b3bHrxicRv4KvWnksC0vQOAhnzV+IvwSfxFtB66cOV3Bfx5ZRr8JfkSfjQXr+eTfIzAbgQf9FXdhCYU5bH5GdLXFHdiX9fsRr/onkhPizQb+lmlTqZkeplWSqrB4H/oLgFXlonJWG/LoXZWxLeCSm8a4riwCelf4m36JfjHzLuUhKX1biy9dRdh3troAx76nGf8vNfeENgDT7/cgf+RXr+W6einvCmwEfxHTFWJ/+X4t9MNSyz1WQs2b8cf9kb8KMaedsO33niXlyprMR7r1fhH2FvWmdZ1nrGRuBKe3GKZxX+HBxH/TsInJXCPafAbiTegHvxPZWtY/rvIPAwvvCj5ndEZZdSBMEGhKReADPr6mxKgmaRNAdv5R9rZgs6m5ogcOTHPUy3Ggs5miEWCARBEARtJ5RNEARB0HZC2QRBEARtJ+ZsgiAIgrYTPZsgCIKg7YSyCYIgCNpOKJsgCIKg7YSyCYIgCNpOKJsgCIKg7fw/RktoM1t+qdEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "plt.plot(xp12_scales, amp_func(xp12_scales, *popt))\n",
    "plt.plot(xp12_scales, signal, 'ok')\n",
    "plt.plot([xp12_scale]*2, [min(signal), max(signal)])\n",
    "plt.xlabel('Amplitude of xp12 relative to xp')\n",
    "plt.ylabel('Signal (arb. units)')\n",
    "plt.title('Relative amplitude %.2f %%' % (xp12_scale*100));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create a 0, 1, 2 discriminator with Qiskit Ignis\n",
    "\n",
    "We should now have a calibrated $\\pi$-pulse between the $|1\\rangle$ and $|2\\rangle$ states.\n",
    "We check this by preparing calibration schedules to see if we can distinguish between the $|0\\rangle$, $|1\\rangle$ and $|2\\rangle$ states in the IQ plane.\n",
    "This measurement is then used to build a 0-1-2 discriminator with Qiskit-Ignis.\n",
    "\n",
    "Note that we also added a small modulation to the readout pulse to improve the efficiency of the 0-1-2 discriminator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The measurement pulse may not be setup to distinguish between 0, 1, and 2\n",
    "# This line of code allows us to adjust the frequency and amplitude\n",
    "# of the measurement pulse\n",
    "meas = measure_all(backend).instructions[1][1].pulse\n",
    "meas_freq_shift = -0.075e6\n",
    "meas_pulse = add_modulation(meas, meas_freq_shift, dt, scale=0.9)\n",
    "\n",
    "meas_sched = Schedule(name='meas %f' % meas_freq_shift)\n",
    "meas_sched += Play(meas_pulse, MeasureChannel(0))\n",
    "meas_sched += Acquire(len(meas.samples), AcquireChannel(0), MemorySlot(0))\n",
    "\n",
    "schedules = []\n",
    "\n",
    "cal0 = Schedule(name='cal_0'.format(amp))\n",
    "cal0 += meas_sched << cal0.duration\n",
    "schedules.append(cal0)\n",
    "\n",
    "cal1 = Schedule(name='cal_1'.format(amp))\n",
    "cal1 += Play(xp, d0)\n",
    "cal1 += meas_sched << cal1.duration\n",
    "schedules.append(cal1)\n",
    "\n",
    "# Create the calibrated pi-pulse between |1> and |2>\n",
    "xp12 = add_modulation(xp, anharmonicity, dt, scale=xp12_scale)\n",
    "\n",
    "cal2 = Schedule(name='cal_2'.format(amp))\n",
    "cal2 += Play(xp, d0)\n",
    "cal2 += Play(xp12, d0)\n",
    "cal2 += meas_sched << cal2.duration\n",
    "schedules.append(cal2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[2].draw(style=style, channels=[d0, MeasureChannel(0), AcquireChannel(0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "qobj = assemble(schedules, backend, meas_level=1, \n",
    "                meas_return=MeasReturnType.SINGLE,\n",
    "                shots=1024)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'5e8af9100f58730019b2191b'"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job = backend.run(qobj)\n",
    "job.job_id()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.DONE: 'job has successfully run'>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "cal_result_disc = job.result(timeout=3600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "svc = SVC(C=0.01, kernel=\"rbf\", gamma=\"scale\")\n",
    "\n",
    "svc_discriminator = SklearnIQDiscriminator(svc, cal_result_disc, [0], ['0', '1', '2'])\n",
    "filter012 = DiscriminationFilter(svc_discriminator)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data in the figure below should show three clearly seperated clusters in the IQ plan which correspond to $|0\\rangle$, $|1\\rangle$, and $|2\\rangle$. Since the discriminator must discriminate three states we use the support vector machine provided by Scikit learn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(8,5))\n",
    "svc_discriminator.plot(ax, flag_misclassified=False, show_boundary=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This measurement can also be used to correct for readout errors using a readout error mitigation tools provided by Qiskit Ignis. In the code below the discriminator returns the states encoded in binary, therefore 0, 1, and 2 are represented by the strings '0', '1', and '10', respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "cal_counts = filter012.apply(cal_result_disc).get_counts()\n",
    "cal_matrix = np.array([[cal_counts[0].get('0',0), cal_counts[1].get('0',0), cal_counts[2].get('0',0)],\n",
    "                       [cal_counts[0].get('1',0), cal_counts[1].get('1',0), cal_counts[2].get('1',0)],\n",
    "                       [cal_counts[0].get('10',0), cal_counts[1].get('10',0), cal_counts[2].get('10',0)]])/shots\n",
    "meas_filter = MeasurementFilter(cal_matrix, ['0', '1', '10'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(cal_matrix, cmap='gray')\n",
    "plt.xlabel('Prepared state')\n",
    "plt.ylabel('Measured state');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Geometric single-qubit gates\n",
    "\n",
    "We now have all the tools needed to implement a single-qubit geometric gate between the $|0\\rangle$ and $|2\\rangle$ states. This is done by *simultaneously* applying two back-to-back $\\pi$-pulses (which corresponds to a $2\\pi$ rotation) between the $|0\\rangle$ and $|1\\rangle$ states and the $|1\\rangle$ and $|2\\rangle$ states. By using two $\\pi$-pulses we save ourselves the task of having to calibrate the $2\\pi$-pulses. The pulses that implement the single-qubit geometric gate have the envelope\n",
    "\n",
    "\\begin{align}\n",
    "a\\,\\Omega(t)+b\\,\\eta\\,\\Omega(t)\\,e^{i\\alpha t}.\n",
    "\\end{align}\n",
    "\n",
    "The complex scalars $a$ and $b$ define the rotation angle $\\theta$ and phase $\\phi$ of the unitary gate that will be implemented on the Bloch sphere created by $|0\\rangle$ and $|2\\rangle$. $\\theta$ and $\\phi$ are related to $a$ and $b$ by\n",
    "\n",
    "\\begin{align}\n",
    "e^{i\\phi}\\tan\\frac{\\theta}{2}=\\frac{a}{b}.\n",
    "\\end{align}\n",
    "\n",
    "Note that the pulses that create the single-qubit geometric gate cannot be implement with the `SetFrequency` instruction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "def geometric(a: complex, b: complex, xp: SamplePulse, xp12: SamplePulse, name='') -> Schedule:\n",
    "    \"\"\"\n",
    "    Create a single-qubit geometric gate between the 0 and 2 state.\n",
    "    In principle the geometric gate is built from a 2pi rotation between 0 and\n",
    "    1 and a 2pi rotation between 1 and 2. Since we have not calibrated the 2pi\n",
    "    rotations we will emulate them with two pi back-to-back pi rotations.\n",
    "    \n",
    "    The geometric gate creates a rotation on the Bloch Sphere between |0> and |2>.\n",
    "    The rotation angle theta and phase phi on the (0,2) Bloch sphere are\n",
    "    given by e^(i*phi)*tan(theta/2)=a/b.\n",
    "    \n",
    "    Args:\n",
    "        a: Parameter to control the geometric rotation.\n",
    "        b: Parameter to control the geometric rotation.\n",
    "        xp: Calibrated X gate between |0> and |1>.\n",
    "        xp12: Calibrated X gate between |1> and |2>.\n",
    "        \n",
    "    Returns: A schedules with the geometric gate.\n",
    "    \"\"\"\n",
    "    \n",
    "    if abs(abs(a)**2 + abs(b)**2 - 1.0) > 1e-4:\n",
    "        raise ValueError('a and b must satisfy |a|**2+|b|**2')\n",
    "                \n",
    "    geom_samples = a*xp.samples + b*xp12.samples\n",
    "    geom = SamplePulse(geom_samples)\n",
    "    \n",
    "    sched = Schedule(name='Geometric (%f, %f) ' % (a, b)+name)\n",
    "    sched += Play(geom, d0)\n",
    "    sched += Play(geom, d0)\n",
    "    sched += meas_sched << sched.duration\n",
    "    \n",
    "    return sched"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "schedules = [cal0, cal1, cal2]\n",
    "angles = np.linspace(0., np.pi, 70)\n",
    "for angle in angles:\n",
    "    a = np.sin(angle/2)\n",
    "    schedules.append(geometric(a, np.sqrt(1.0-a*a), xp, xp12))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The schedule below shows the single-qubit geometric gate, implemented as two back-to-back superpositions of $X_{01}$ and $X_{12}$. These pulses can only be implemented on high resolution devices and cannot be implemented with the `SetFrequency` instruction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "schedules[65].draw(plot_range=[0, 1500], style=style, channels=[d0, MeasureChannel(0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "qobj = assemble(schedules, backend, meas_level=1, \n",
    "                meas_return=MeasReturnType.SINGLE,\n",
    "                shots=1024)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'5e8afa81d8deff0019b54e4c'"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job = backend.run(qobj)\n",
    "job.job_id()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<JobStatus.DONE: 'job has successfully run'>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "job.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "geom_result = job.result(timeout=3600)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To analyse the data we first apply the the 012 discriminator that we build with Qiskit-Ignis. Next, we employ our measurement error mitigation filter to correct the readout."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Apply discriminator\n",
    "geom_discriminated = filter012.apply(geom_result)\n",
    "\n",
    "# Mitigate readout errors\n",
    "geom_mitigated = meas_filter.apply(geom_discriminated)\n",
    "\n",
    "# Compute the population counts\n",
    "counts = geom_mitigated.get_counts()\n",
    "pop0 = [cnt.get('0',0)/shots for cnt in counts[3:]]\n",
    "pop1 = [cnt.get('1',0)/shots for cnt in counts[3:]]\n",
    "pop2 = [cnt.get('10',0)/shots for cnt in counts[3:]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(14,5), tight_layout=True)\n",
    "\n",
    "svc_discriminator.plot(ax[0], flag_misclassified=False, show_boundary=True, show_fitting_data=False);\n",
    "for idx in range(len(angles)):\n",
    "    iqs = geom_result.get_memory(idx+3)\n",
    "    ax[0].scatter(np.real(iqs), np.imag(iqs), s=3, color='k',alpha=0.05)\n",
    "\n",
    "ax[0].set_title('')\n",
    "\n",
    "ax[1].plot(np.linspace(0, np.pi, 100), np.cos(np.linspace(0, np.pi, 100))**2, '--k')\n",
    "ax[1].plot(np.linspace(0, np.pi, 100), np.sin(np.linspace(0, np.pi, 100))**2, '--k', label='Ideal')\n",
    "ax[1].plot(angles, pop0, 'oC0', label='$|0\\\\rangle$')\n",
    "ax[1].plot(angles, pop1, 'oC2', label='$|1\\\\rangle$')\n",
    "ax[1].plot(angles, pop2, 'oC1', label='$|2\\\\rangle$')\n",
    "ax[1].set_xlabel('Rotation angle (rad)')\n",
    "ax[1].set_ylabel('Transmon population')\n",
    "ax[1].set_xticks([0, np.pi/2, np.pi])\n",
    "ax[1].set_xticklabels(['0', '$\\pi/2$', '$\\pi$'])\n",
    "ax[1].set_ylim([0, 1.3])\n",
    "ax[1].set_yticks([0, 0.25, 0.50, 0.75, 1.0])\n",
    "ax[1].legend(ncol=4, loc=1, fontsize=16, columnspacing=0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>None</td></tr><tr><td>Terra</td><td>0.13.0.dev0+4bf9fd5</td></tr><tr><td>Aer</td><td>0.4.1</td></tr><tr><td>Ignis</td><td>0.3.0.dev0+5400ab2</td></tr><tr><td>Aqua</td><td>None</td></tr><tr><td>IBM Q Provider</td><td>0.5.0</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.3 (default, Mar 27 2019, 22:11:17) \n",
       "[GCC 7.3.0]</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>4</td></tr><tr><td>Memory (Gb)</td><td>7.775188446044922</td></tr><tr><td colspan='2'>Fri Apr 03 15:06:15 2020 CEST</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2020.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "display_name": "Python 3",
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   "name": "python3"
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   "file_extension": ".py",
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